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Finding the Fourth Proportional to 392,207,078.40, 587,248,934.40 and 307,272,422.40

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Solution

The fourth proportional to 392,207,078.40, 587,248,934.40 and 307,272,422.40 is: 460,076,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,207,078.40 : 587,248,934.40 = 307,272,422.40 : x
  2. Step 2: Convert to fraction form
    392,207,078.40/587,248,934.40 = 307,272,422.40/x
  3. Step 3: Cross multiply
    392,207,078.40x = 587,248,934.40 × 307,272,422.40
  4. Step 4: Simplify right side
    392,207,078.40x = 180,445,402,624,906,656
  5. Step 5: Solve for x
    x = 180,445,402,624,906,656/392,207,078.40
  6. Step 6: Final answer
    x = 460,076,863.89

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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.