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Finding the Fourth Proportional to 516,456.30, 774,729.08 and 142,479.30

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Solution

The fourth proportional to 516,456.30, 774,729.08 and 142,479.30 is: 213,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,456.30 : 774,729.08 = 142,479.30 : x
  2. Step 2: Convert to fraction form
    516,456.30/774,729.08 = 142,479.30/x
  3. Step 3: Cross multiply
    516,456.30x = 774,729.08 × 142,479.30
  4. Step 4: Simplify right side
    516,456.30x = 110,382,856,295.65
  5. Step 5: Solve for x
    x = 110,382,856,295.65/516,456.30
  6. Step 6: Final answer
    x = 213,731.26

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1.5x scale

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.