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Finding the Fourth Proportional to 488,101.30, 731,806.35 and 188,466.10

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Solution

The fourth proportional to 488,101.30, 731,806.35 and 188,466.10 is: 282,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,101.30 : 731,806.35 = 188,466.10 : x
  2. Step 2: Convert to fraction form
    488,101.30/731,806.35 = 188,466.10/x
  3. Step 3: Cross multiply
    488,101.30x = 731,806.35 × 188,466.10
  4. Step 4: Simplify right side
    488,101.30x = 137,920,688,739.74
  5. Step 5: Solve for x
    x = 137,920,688,739.74/488,101.30
  6. Step 6: Final answer
    x = 282,565.71

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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.