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Finding the Fourth Proportional to 398,648,433.60, 596,838,909.60 and 307,193,342.40

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Solution

The fourth proportional to 398,648,433.60, 596,838,909.60 and 307,193,342.40 is: 459,916,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648,433.60 : 596,838,909.60 = 307,193,342.40 : x
  2. Step 2: Convert to fraction form
    398,648,433.60/596,838,909.60 = 307,193,342.40/x
  3. Step 3: Cross multiply
    398,648,433.60x = 596,838,909.60 × 307,193,342.40
  4. Step 4: Simplify right side
    398,648,433.60x = 183,344,939,514,395,456
  5. Step 5: Solve for x
    x = 183,344,939,514,395,456/398,648,433.60
  6. Step 6: Final answer
    x = 459,916,367.56

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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.