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Finding the Fourth Proportional to 619,903.80, 928,081.80 and 381,642.30

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Solution

The fourth proportional to 619,903.80, 928,081.80 and 381,642.30 is: 571,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,903.80 : 928,081.80 = 381,642.30 : x
  2. Step 2: Convert to fraction form
    619,903.80/928,081.80 = 381,642.30/x
  3. Step 3: Cross multiply
    619,903.80x = 928,081.80 × 381,642.30
  4. Step 4: Simplify right side
    619,903.80x = 354,195,272,740.14
  5. Step 5: Solve for x
    x = 354,195,272,740.14/619,903.80
  6. Step 6: Final answer
    x = 571,371.35

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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.