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Finding the Fourth Proportional to 560,411.20, 840,616.80 and 186,434.20

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Solution

The fourth proportional to 560,411.20, 840,616.80 and 186,434.20 is: 279,651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,411.20 : 840,616.80 = 186,434.20 : x
  2. Step 2: Convert to fraction form
    560,411.20/840,616.80 = 186,434.20/x
  3. Step 3: Cross multiply
    560,411.20x = 840,616.80 × 186,434.20
  4. Step 4: Simplify right side
    560,411.20x = 156,719,720,614.56
  5. Step 5: Solve for x
    x = 156,719,720,614.56/560,411.20
  6. Step 6: Final answer
    x = 279,651.30

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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.