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Finding the Fourth Proportional to 524,487.60, 786,270.60 and 314,209.20

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Solution

The fourth proportional to 524,487.60, 786,270.60 and 314,209.20 is: 471,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,487.60 : 786,270.60 = 314,209.20 : x
  2. Step 2: Convert to fraction form
    524,487.60/786,270.60 = 314,209.20/x
  3. Step 3: Cross multiply
    524,487.60x = 786,270.60 × 314,209.20
  4. Step 4: Simplify right side
    524,487.60x = 247,053,456,209.52
  5. Step 5: Solve for x
    x = 247,053,456,209.52/524,487.60
  6. Step 6: Final answer
    x = 471,037.74

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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.