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Finding the Fourth Proportional to 524,801.10, 724,215.15 and 286,337.10

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Solution

The fourth proportional to 524,801.10, 724,215.15 and 286,337.10 is: 395,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,801.10 : 724,215.15 = 286,337.10 : x
  2. Step 2: Convert to fraction form
    524,801.10/724,215.15 = 286,337.10/x
  3. Step 3: Cross multiply
    524,801.10x = 724,215.15 × 286,337.10
  4. Step 4: Simplify right side
    524,801.10x = 207,369,665,827.07
  5. Step 5: Solve for x
    x = 207,369,665,827.07/524,801.10
  6. Step 6: Final answer
    x = 395,139.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.