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Finding the Fourth Proportional to 399,425,309.60, 599,137,964.40 and 157,096,119.20

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Solution

The fourth proportional to 399,425,309.60, 599,137,964.40 and 157,096,119.20 is: 235,644,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,425,309.60 : 599,137,964.40 = 157,096,119.20 : x
  2. Step 2: Convert to fraction form
    399,425,309.60/599,137,964.40 = 157,096,119.20/x
  3. Step 3: Cross multiply
    399,425,309.60x = 599,137,964.40 × 157,096,119.20
  4. Step 4: Simplify right side
    399,425,309.60x = 94,122,249,072,627,744
  5. Step 5: Solve for x
    x = 94,122,249,072,627,744/399,425,309.60
  6. Step 6: Final answer
    x = 235,644,178.80

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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.