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Finding the Fourth Proportional to 516,607.08, 774,909.54 and 142,629

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Solution

The fourth proportional to 516,607.08, 774,909.54 and 142,629 is: 213,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,607.08 : 774,909.54 = 142,629 : x
  2. Step 2: Convert to fraction form
    516,607.08/774,909.54 = 142,629/x
  3. Step 3: Cross multiply
    516,607.08x = 774,909.54 × 142,629
  4. Step 4: Simplify right side
    516,607.08x = 110,524,572,780.66
  5. Step 5: Solve for x
    x = 110,524,572,780.66/516,607.08
  6. Step 6: Final answer
    x = 213,943.20

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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.