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Finding the Fourth Proportional to 402,988.38, 603,984.32 and 203,365.86

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Solution

The fourth proportional to 402,988.38, 603,984.32 and 203,365.86 is: 304,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,988.38 : 603,984.32 = 203,365.86 : x
  2. Step 2: Convert to fraction form
    402,988.38/603,984.32 = 203,365.86/x
  3. Step 3: Cross multiply
    402,988.38x = 603,984.32 × 203,365.86
  4. Step 4: Simplify right side
    402,988.38x = 122,829,790,663.32
  5. Step 5: Solve for x
    x = 122,829,790,663.32/402,988.38
  6. Step 6: Final answer
    x = 304,797.35

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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.