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Finding the Fourth Proportional to 560,486.91, 840,706.85 and 260,864.43

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Solution

The fourth proportional to 560,486.91, 840,706.85 and 260,864.43 is: 391,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,486.91 : 840,706.85 = 260,864.43 : x
  2. Step 2: Convert to fraction form
    560,486.91/840,706.85 = 260,864.43/x
  3. Step 3: Cross multiply
    560,486.91x = 840,706.85 × 260,864.43
  4. Step 4: Simplify right side
    560,486.91x = 219,310,511,918.02
  5. Step 5: Solve for x
    x = 219,310,511,918.02/560,486.91
  6. Step 6: Final answer
    x = 391,285.70

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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.