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Finding the Fourth Proportional to 399,402,308.70, 599,103,463.05 and 399,402,308.70

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Solution

The fourth proportional to 399,402,308.70, 599,103,463.05 and 399,402,308.70 is: 599,103,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,402,308.70 : 599,103,463.05 = 399,402,308.70 : x
  2. Step 2: Convert to fraction form
    399,402,308.70/599,103,463.05 = 399,402,308.70/x
  3. Step 3: Cross multiply
    399,402,308.70x = 599,103,463.05 × 399,402,308.70
  4. Step 4: Simplify right side
    399,402,308.70x = 239,283,306,292,335,104
  5. Step 5: Solve for x
    x = 239,283,306,292,335,104/399,402,308.70
  6. Step 6: Final answer
    x = 599,103,463.05

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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.