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Finding the Fourth Proportional to 509,665.98, 764,528.13 and 154,691.58

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Solution

The fourth proportional to 509,665.98, 764,528.13 and 154,691.58 is: 232,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,665.98 : 764,528.13 = 154,691.58 : x
  2. Step 2: Convert to fraction form
    509,665.98/764,528.13 = 154,691.58/x
  3. Step 3: Cross multiply
    509,665.98x = 764,528.13 × 154,691.58
  4. Step 4: Simplify right side
    509,665.98x = 118,266,064,384.15
  5. Step 5: Solve for x
    x = 118,266,064,384.15/509,665.98
  6. Step 6: Final answer
    x = 232,046.22

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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.