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Finding the Fourth Proportional to 499,817.60, 749,726.40 and 144,843.20

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Solution

The fourth proportional to 499,817.60, 749,726.40 and 144,843.20 is: 217,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,817.60 : 749,726.40 = 144,843.20 : x
  2. Step 2: Convert to fraction form
    499,817.60/749,726.40 = 144,843.20/x
  3. Step 3: Cross multiply
    499,817.60x = 749,726.40 × 144,843.20
  4. Step 4: Simplify right side
    499,817.60x = 108,592,770,900.48
  5. Step 5: Solve for x
    x = 108,592,770,900.48/499,817.60
  6. Step 6: Final answer
    x = 217,264.80

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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.