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Finding the Fourth Proportional to 312,773.76, 469,248 and 102,559.68

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Solution

The fourth proportional to 312,773.76, 469,248 and 102,559.68 is: 153,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,773.76 : 469,248 = 102,559.68 : x
  2. Step 2: Convert to fraction form
    312,773.76/469,248 = 102,559.68/x
  3. Step 3: Cross multiply
    312,773.76x = 469,248 × 102,559.68
  4. Step 4: Simplify right side
    312,773.76x = 48,125,924,720.64
  5. Step 5: Solve for x
    x = 48,125,924,720.64/312,773.76
  6. Step 6: Final answer
    x = 153,868.17

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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.