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Finding the Fourth Proportional to 486,424.80, 729,248.40 and 205,711.20

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Solution

The fourth proportional to 486,424.80, 729,248.40 and 205,711.20 is: 308,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,424.80 : 729,248.40 = 205,711.20 : x
  2. Step 2: Convert to fraction form
    486,424.80/729,248.40 = 205,711.20/x
  3. Step 3: Cross multiply
    486,424.80x = 729,248.40 × 205,711.20
  4. Step 4: Simplify right side
    486,424.80x = 150,014,563,462.08
  5. Step 5: Solve for x
    x = 150,014,563,462.08/486,424.80
  6. Step 6: Final answer
    x = 308,402.37

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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.