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Finding the Fourth Proportional to 667,221,764.80, 920,220,066.88 and 469,637,337.28

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Solution

The fourth proportional to 667,221,764.80, 920,220,066.88 and 469,637,337.28 is: 647,715,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,221,764.80 : 920,220,066.88 = 469,637,337.28 : x
  2. Step 2: Convert to fraction form
    667,221,764.80/920,220,066.88 = 469,637,337.28/x
  3. Step 3: Cross multiply
    667,221,764.80x = 920,220,066.88 × 469,637,337.28
  4. Step 4: Simplify right side
    667,221,764.80x = 432,169,701,921,146,688
  5. Step 5: Solve for x
    x = 432,169,701,921,146,688/667,221,764.80
  6. Step 6: Final answer
    x = 647,715,234.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.