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Finding the Fourth Proportional to 402,489,042.90, 603,733,564.35 and 129,859,809.90

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Solution

The fourth proportional to 402,489,042.90, 603,733,564.35 and 129,859,809.90 is: 194,789,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,489,042.90 : 603,733,564.35 = 129,859,809.90 : x
  2. Step 2: Convert to fraction form
    402,489,042.90/603,733,564.35 = 129,859,809.90/x
  3. Step 3: Cross multiply
    402,489,042.90x = 603,733,564.35 × 129,859,809.90
  4. Step 4: Simplify right side
    402,489,042.90x = 78,400,725,896,740,416
  5. Step 5: Solve for x
    x = 78,400,725,896,740,416/402,489,042.90
  6. Step 6: Final answer
    x = 194,789,714.85

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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.