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Finding the Fourth Proportional to 516,456.05, 774,728.70 and 142,479.05

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Solution

The fourth proportional to 516,456.05, 774,728.70 and 142,479.05 is: 213,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,456.05 : 774,728.70 = 142,479.05 : x
  2. Step 2: Convert to fraction form
    516,456.05/774,728.70 = 142,479.05/x
  3. Step 3: Cross multiply
    516,456.05x = 774,728.70 × 142,479.05
  4. Step 4: Simplify right side
    516,456.05x = 110,382,609,183.74
  5. Step 5: Solve for x
    x = 110,382,609,183.74/516,456.05
  6. Step 6: Final answer
    x = 213,730.89

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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.