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Finding the Fourth Proportional to 472,394,386.40, 708,591,579.60 and 437,957,009.60

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Solution

The fourth proportional to 472,394,386.40, 708,591,579.60 and 437,957,009.60 is: 656,935,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,394,386.40 : 708,591,579.60 = 437,957,009.60 : x
  2. Step 2: Convert to fraction form
    472,394,386.40/708,591,579.60 = 437,957,009.60/x
  3. Step 3: Cross multiply
    472,394,386.40x = 708,591,579.60 × 437,957,009.60
  4. Step 4: Simplify right side
    472,394,386.40x = 310,332,649,229,356,416
  5. Step 5: Solve for x
    x = 310,332,649,229,356,416/472,394,386.40
  6. Step 6: Final answer
    x = 656,935,514.40

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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.