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Finding the Fourth Proportional to 499,405.80, 749,205.90 and 144,431.40

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Solution

The fourth proportional to 499,405.80, 749,205.90 and 144,431.40 is: 216,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,405.80 : 749,205.90 = 144,431.40 : x
  2. Step 2: Convert to fraction form
    499,405.80/749,205.90 = 144,431.40/x
  3. Step 3: Cross multiply
    499,405.80x = 749,205.90 × 144,431.40
  4. Step 4: Simplify right side
    499,405.80x = 108,208,857,025.26
  5. Step 5: Solve for x
    x = 108,208,857,025.26/499,405.80
  6. Step 6: Final answer
    x = 216,675.21

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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.