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Finding the Fourth Proportional to 434,498,689.80, 651,748,034.70 and 378,378,520.20

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Solution

The fourth proportional to 434,498,689.80, 651,748,034.70 and 378,378,520.20 is: 567,567,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,498,689.80 : 651,748,034.70 = 378,378,520.20 : x
  2. Step 2: Convert to fraction form
    434,498,689.80/651,748,034.70 = 378,378,520.20/x
  3. Step 3: Cross multiply
    434,498,689.80x = 651,748,034.70 × 378,378,520.20
  4. Step 4: Simplify right side
    434,498,689.80x = 246,607,456,913,044,256
  5. Step 5: Solve for x
    x = 246,607,456,913,044,256/434,498,689.80
  6. Step 6: Final answer
    x = 567,567,780.30

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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.