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Finding the Fourth Proportional to 524,840.40, 785,446.20 and 314,629.20

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Solution

The fourth proportional to 524,840.40, 785,446.20 and 314,629.20 is: 470,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,840.40 : 785,446.20 = 314,629.20 : x
  2. Step 2: Convert to fraction form
    524,840.40/785,446.20 = 314,629.20/x
  3. Step 3: Cross multiply
    524,840.40x = 785,446.20 × 314,629.20
  4. Step 4: Simplify right side
    524,840.40x = 247,124,309,549.04
  5. Step 5: Solve for x
    x = 247,124,309,549.04/524,840.40
  6. Step 6: Final answer
    x = 470,856.11

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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.