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Finding the Fourth Proportional to 528,909.74, 729,715.16 and 338,033.24

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Solution

The fourth proportional to 528,909.74, 729,715.16 and 338,033.24 is: 466,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,909.74 : 729,715.16 = 338,033.24 : x
  2. Step 2: Convert to fraction form
    528,909.74/729,715.16 = 338,033.24/x
  3. Step 3: Cross multiply
    528,909.74x = 729,715.16 × 338,033.24
  4. Step 4: Simplify right side
    528,909.74x = 246,667,978,121.75
  5. Step 5: Solve for x
    x = 246,667,978,121.75/528,909.74
  6. Step 6: Final answer
    x = 466,370.65

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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.