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Finding the Fourth Proportional to 402,681.72, 604,489.20 and 216,057.72

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Solution

The fourth proportional to 402,681.72, 604,489.20 and 216,057.72 is: 324,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,681.72 : 604,489.20 = 216,057.72 : x
  2. Step 2: Convert to fraction form
    402,681.72/604,489.20 = 216,057.72/x
  3. Step 3: Cross multiply
    402,681.72x = 604,489.20 × 216,057.72
  4. Step 4: Simplify right side
    402,681.72x = 130,604,558,316.62
  5. Step 5: Solve for x
    x = 130,604,558,316.62/402,681.72
  6. Step 6: Final answer
    x = 324,336.94

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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.