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Finding the Fourth Proportional to 493,688, 740,534.43 and 119,711

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Solution

The fourth proportional to 493,688, 740,534.43 and 119,711 is: 179,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,688 : 740,534.43 = 119,711 : x
  2. Step 2: Convert to fraction form
    493,688/740,534.43 = 119,711/x
  3. Step 3: Cross multiply
    493,688x = 740,534.43 × 119,711
  4. Step 4: Simplify right side
    493,688x = 88,650,117,149.73
  5. Step 5: Solve for x
    x = 88,650,117,149.73/493,688
  6. Step 6: Final answer
    x = 179,567.09

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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.