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Finding the Fourth Proportional to 261,788.76, 392,319.81 and 119,285.78

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Solution

The fourth proportional to 261,788.76, 392,319.81 and 119,285.78 is: 178,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,788.76 : 392,319.81 = 119,285.78 : x
  2. Step 2: Convert to fraction form
    261,788.76/392,319.81 = 119,285.78/x
  3. Step 3: Cross multiply
    261,788.76x = 392,319.81 × 119,285.78
  4. Step 4: Simplify right side
    261,788.76x = 46,798,172,583.70
  5. Step 5: Solve for x
    x = 46,798,172,583.70/261,788.76
  6. Step 6: Final answer
    x = 178,763.11

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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.