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Finding the Fourth Proportional to 493,123.80, 739,685.70 and 280,547.40

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Solution

The fourth proportional to 493,123.80, 739,685.70 and 280,547.40 is: 420,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,123.80 : 739,685.70 = 280,547.40 : x
  2. Step 2: Convert to fraction form
    493,123.80/739,685.70 = 280,547.40/x
  3. Step 3: Cross multiply
    493,123.80x = 739,685.70 × 280,547.40
  4. Step 4: Simplify right side
    493,123.80x = 207,516,899,952.18
  5. Step 5: Solve for x
    x = 207,516,899,952.18/493,123.80
  6. Step 6: Final answer
    x = 420,821.10

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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.