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Finding the Fourth Proportional to 509,253.16, 762,436.32 and 423,172.84

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Solution

The fourth proportional to 509,253.16, 762,436.32 and 423,172.84 is: 633,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,253.16 : 762,436.32 = 423,172.84 : x
  2. Step 2: Convert to fraction form
    509,253.16/762,436.32 = 423,172.84/x
  3. Step 3: Cross multiply
    509,253.16x = 762,436.32 × 423,172.84
  4. Step 4: Simplify right side
    509,253.16x = 322,642,342,853.55
  5. Step 5: Solve for x
    x = 322,642,342,853.55/509,253.16
  6. Step 6: Final answer
    x = 633,559.82

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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.