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Finding the Fourth Proportional to 509,815.16, 703,562.96 and 292,062.72

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Solution

The fourth proportional to 509,815.16, 703,562.96 and 292,062.72 is: 403,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,815.16 : 703,562.96 = 292,062.72 : x
  2. Step 2: Convert to fraction form
    509,815.16/703,562.96 = 292,062.72/x
  3. Step 3: Cross multiply
    509,815.16x = 703,562.96 × 292,062.72
  4. Step 4: Simplify right side
    509,815.16x = 205,484,511,788.85
  5. Step 5: Solve for x
    x = 205,484,511,788.85/509,815.16
  6. Step 6: Final answer
    x = 403,056.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.