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Finding the Fourth Proportional to 391,305,602.40, 587,190,646.80 and 148,993,000.80

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Solution

The fourth proportional to 391,305,602.40, 587,190,646.80 and 148,993,000.80 is: 223,577,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,305,602.40 : 587,190,646.80 = 148,993,000.80 : x
  2. Step 2: Convert to fraction form
    391,305,602.40/587,190,646.80 = 148,993,000.80/x
  3. Step 3: Cross multiply
    391,305,602.40x = 587,190,646.80 × 148,993,000.80
  4. Step 4: Simplify right side
    391,305,602.40x = 87,487,296,508,424,912
  5. Step 5: Solve for x
    x = 87,487,296,508,424,912/391,305,602.40
  6. Step 6: Final answer
    x = 223,577,929.81

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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.