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Finding the Fourth Proportional to 524,190.30, 786,285.45 and 313,719.90

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Solution

The fourth proportional to 524,190.30, 786,285.45 and 313,719.90 is: 470,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,190.30 : 786,285.45 = 313,719.90 : x
  2. Step 2: Convert to fraction form
    524,190.30/786,285.45 = 313,719.90/x
  3. Step 3: Cross multiply
    524,190.30x = 786,285.45 × 313,719.90
  4. Step 4: Simplify right side
    524,190.30x = 246,673,392,745.46
  5. Step 5: Solve for x
    x = 246,673,392,745.46/524,190.30
  6. Step 6: Final answer
    x = 470,579.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.