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Finding the Fourth Proportional to 520,061.10, 780,091.65 and 165,102.90

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Solution

The fourth proportional to 520,061.10, 780,091.65 and 165,102.90 is: 247,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,061.10 : 780,091.65 = 165,102.90 : x
  2. Step 2: Convert to fraction form
    520,061.10/780,091.65 = 165,102.90/x
  3. Step 3: Cross multiply
    520,061.10x = 780,091.65 × 165,102.90
  4. Step 4: Simplify right side
    520,061.10x = 128,795,393,680.79
  5. Step 5: Solve for x
    x = 128,795,393,680.79/520,061.10
  6. Step 6: Final answer
    x = 247,654.35

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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.