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Finding the Fourth Proportional to 524,644, 724,008.72 and 286,180

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Solution

The fourth proportional to 524,644, 724,008.72 and 286,180 is: 394,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,644 : 724,008.72 = 286,180 : x
  2. Step 2: Convert to fraction form
    524,644/724,008.72 = 286,180/x
  3. Step 3: Cross multiply
    524,644x = 724,008.72 × 286,180
  4. Step 4: Simplify right side
    524,644x = 207,196,815,489.60
  5. Step 5: Solve for x
    x = 207,196,815,489.60/524,644
  6. Step 6: Final answer
    x = 394,928.40

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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.