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Finding the Fourth Proportional to 402,711.20, 604,153.20 and 122,256.80

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Solution

The fourth proportional to 402,711.20, 604,153.20 and 122,256.80 is: 183,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,711.20 : 604,153.20 = 122,256.80 : x
  2. Step 2: Convert to fraction form
    402,711.20/604,153.20 = 122,256.80/x
  3. Step 3: Cross multiply
    402,711.20x = 604,153.20 × 122,256.80
  4. Step 4: Simplify right side
    402,711.20x = 73,861,836,941.76
  5. Step 5: Solve for x
    x = 73,861,836,941.76/402,711.20
  6. Step 6: Final answer
    x = 183,411.43

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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.