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Finding the Fourth Proportional to 407,816.20, 611,724.30 and 342,862.30

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Solution

The fourth proportional to 407,816.20, 611,724.30 and 342,862.30 is: 514,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,816.20 : 611,724.30 = 342,862.30 : x
  2. Step 2: Convert to fraction form
    407,816.20/611,724.30 = 342,862.30/x
  3. Step 3: Cross multiply
    407,816.20x = 611,724.30 × 342,862.30
  4. Step 4: Simplify right side
    407,816.20x = 209,737,200,463.89
  5. Step 5: Solve for x
    x = 209,737,200,463.89/407,816.20
  6. Step 6: Final answer
    x = 514,293.45

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Similar ratio
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1.5x scale

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.