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Finding the Fourth Proportional to 499,070,649.40, 748,655,999.70 and 171,503,020.60

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Solution

The fourth proportional to 499,070,649.40, 748,655,999.70 and 171,503,020.60 is: 257,271,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,070,649.40 : 748,655,999.70 = 171,503,020.60 : x
  2. Step 2: Convert to fraction form
    499,070,649.40/748,655,999.70 = 171,503,020.60/x
  3. Step 3: Cross multiply
    499,070,649.40x = 748,655,999.70 × 171,503,020.60
  4. Step 4: Simplify right side
    499,070,649.40x = 128,396,765,338,862,704
  5. Step 5: Solve for x
    x = 128,396,765,338,862,704/499,070,649.40
  6. Step 6: Final answer
    x = 257,271,721.94

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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.