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Finding the Fourth Proportional to 516,338,472.32, 774,736,424.56 and 270,636,714.96

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Solution

The fourth proportional to 516,338,472.32, 774,736,424.56 and 270,636,714.96 is: 406,074,953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,338,472.32 : 774,736,424.56 = 270,636,714.96 : x
  2. Step 2: Convert to fraction form
    516,338,472.32/774,736,424.56 = 270,636,714.96/x
  3. Step 3: Cross multiply
    516,338,472.32x = 774,736,424.56 × 270,636,714.96
  4. Step 4: Simplify right side
    516,338,472.32x = 209,672,120,902,774,240
  5. Step 5: Solve for x
    x = 209,672,120,902,774,240/516,338,472.32
  6. Step 6: Final answer
    x = 406,074,953.05

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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.