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Finding the Fourth Proportional to 402,164.49, 603,320.90 and 132,307.82

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Solution

The fourth proportional to 402,164.49, 603,320.90 and 132,307.82 is: 198,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,164.49 : 603,320.90 = 132,307.82 : x
  2. Step 2: Convert to fraction form
    402,164.49/603,320.90 = 132,307.82/x
  3. Step 3: Cross multiply
    402,164.49x = 603,320.90 × 132,307.82
  4. Step 4: Simplify right side
    402,164.49x = 79,824,069,361.29
  5. Step 5: Solve for x
    x = 79,824,069,361.29/402,164.49
  6. Step 6: Final answer
    x = 198,486.12

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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.