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Finding the Fourth Proportional to 499,433.92, 749,038.56 and 144,368.80

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Solution

The fourth proportional to 499,433.92, 749,038.56 and 144,368.80 is: 216,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,433.92 : 749,038.56 = 144,368.80 : x
  2. Step 2: Convert to fraction form
    499,433.92/749,038.56 = 144,368.80/x
  3. Step 3: Cross multiply
    499,433.92x = 749,038.56 × 144,368.80
  4. Step 4: Simplify right side
    499,433.92x = 108,137,798,060.93
  5. Step 5: Solve for x
    x = 108,137,798,060.93/499,433.92
  6. Step 6: Final answer
    x = 216,520.73

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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.