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Finding the Fourth Proportional to 410,412.69, 615,713.85 and 129,929.94

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Solution

The fourth proportional to 410,412.69, 615,713.85 and 129,929.94 is: 194,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,412.69 : 615,713.85 = 129,929.94 : x
  2. Step 2: Convert to fraction form
    410,412.69/615,713.85 = 129,929.94/x
  3. Step 3: Cross multiply
    410,412.69x = 615,713.85 × 129,929.94
  4. Step 4: Simplify right side
    410,412.69x = 79,999,663,587.67
  5. Step 5: Solve for x
    x = 79,999,663,587.67/410,412.69
  6. Step 6: Final answer
    x = 194,924.93

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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.