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Finding the Fourth Proportional to 410,587.95, 615,646.76 and 126,204.51

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Solution

The fourth proportional to 410,587.95, 615,646.76 and 126,204.51 is: 189,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,587.95 : 615,646.76 = 126,204.51 : x
  2. Step 2: Convert to fraction form
    410,587.95/615,646.76 = 126,204.51/x
  3. Step 3: Cross multiply
    410,587.95x = 615,646.76 × 126,204.51
  4. Step 4: Simplify right side
    410,587.95x = 77,697,397,047.87
  5. Step 5: Solve for x
    x = 77,697,397,047.87/410,587.95
  6. Step 6: Final answer
    x = 189,234.48

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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.