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Finding the Fourth Proportional to 310,070.20, 465,105.30 and 99,729.40

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Solution

The fourth proportional to 310,070.20, 465,105.30 and 99,729.40 is: 149,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,070.20 : 465,105.30 = 99,729.40 : x
  2. Step 2: Convert to fraction form
    310,070.20/465,105.30 = 99,729.40/x
  3. Step 3: Cross multiply
    310,070.20x = 465,105.30 × 99,729.40
  4. Step 4: Simplify right side
    310,070.20x = 46,384,672,505.82
  5. Step 5: Solve for x
    x = 46,384,672,505.82/310,070.20
  6. Step 6: Final answer
    x = 149,594.10

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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.