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Finding the Fourth Proportional to 485,589,838.80, 728,384,758.20 and 434,571,502.80

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Solution

The fourth proportional to 485,589,838.80, 728,384,758.20 and 434,571,502.80 is: 651,857,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,589,838.80 : 728,384,758.20 = 434,571,502.80 : x
  2. Step 2: Convert to fraction form
    485,589,838.80/728,384,758.20 = 434,571,502.80/x
  3. Step 3: Cross multiply
    485,589,838.80x = 728,384,758.20 × 434,571,502.80
  4. Step 4: Simplify right side
    485,589,838.80x = 316,535,258,987,588,672
  5. Step 5: Solve for x
    x = 316,535,258,987,588,672/485,589,838.80
  6. Step 6: Final answer
    x = 651,857,254.20

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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.