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Finding the Fourth Proportional to 663,953.04, 997,402.68 and 411,420.24

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Solution

The fourth proportional to 663,953.04, 997,402.68 and 411,420.24 is: 618,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,953.04 : 997,402.68 = 411,420.24 : x
  2. Step 2: Convert to fraction form
    663,953.04/997,402.68 = 411,420.24/x
  3. Step 3: Cross multiply
    663,953.04x = 997,402.68 × 411,420.24
  4. Step 4: Simplify right side
    663,953.04x = 410,351,649,982.24
  5. Step 5: Solve for x
    x = 410,351,649,982.24/663,953.04
  6. Step 6: Final answer
    x = 618,043.18

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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.