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Finding the Fourth Proportional to 663,956.04, 997,407.18 and 411,423.24

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Solution

The fourth proportional to 663,956.04, 997,407.18 and 411,423.24 is: 618,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,956.04 : 997,407.18 = 411,423.24 : x
  2. Step 2: Convert to fraction form
    663,956.04/997,407.18 = 411,423.24/x
  3. Step 3: Cross multiply
    663,956.04x = 997,407.18 × 411,423.24
  4. Step 4: Simplify right side
    663,956.04x = 410,356,493,594.86
  5. Step 5: Solve for x
    x = 410,356,493,594.86/663,956.04
  6. Step 6: Final answer
    x = 618,047.69

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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.