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Finding the Fourth Proportional to 410,402.77, 615,698.93 and 129,920.02

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Solution

The fourth proportional to 410,402.77, 615,698.93 and 129,920.02 is: 194,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,402.77 : 615,698.93 = 129,920.02 : x
  2. Step 2: Convert to fraction form
    410,402.77/615,698.93 = 129,920.02/x
  3. Step 3: Cross multiply
    410,402.77x = 615,698.93 × 129,920.02
  4. Step 4: Simplify right side
    410,402.77x = 79,991,617,299.58
  5. Step 5: Solve for x
    x = 79,991,617,299.58/410,402.77
  6. Step 6: Final answer
    x = 194,910.03

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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.