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Finding the Fourth Proportional to 509,056.31, 762,702.45 and 308,957.42

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Solution

The fourth proportional to 509,056.31, 762,702.45 and 308,957.42 is: 462,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,056.31 : 762,702.45 = 308,957.42 : x
  2. Step 2: Convert to fraction form
    509,056.31/762,702.45 = 308,957.42/x
  3. Step 3: Cross multiply
    509,056.31x = 762,702.45 × 308,957.42
  4. Step 4: Simplify right side
    509,056.31x = 235,642,577,366.17
  5. Step 5: Solve for x
    x = 235,642,577,366.17/509,056.31
  6. Step 6: Final answer
    x = 462,900.81

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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.