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Finding the Fourth Proportional to 491,158.20, 736,737.30 and 280,817.40

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Solution

The fourth proportional to 491,158.20, 736,737.30 and 280,817.40 is: 421,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,158.20 : 736,737.30 = 280,817.40 : x
  2. Step 2: Convert to fraction form
    491,158.20/736,737.30 = 280,817.40/x
  3. Step 3: Cross multiply
    491,158.20x = 736,737.30 × 280,817.40
  4. Step 4: Simplify right side
    491,158.20x = 206,888,653,069.02
  5. Step 5: Solve for x
    x = 206,888,653,069.02/491,158.20
  6. Step 6: Final answer
    x = 421,226.10

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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.