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Finding the Fourth Proportional to 199,565.40, 298,619.10 and 147,077.40

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Solution

The fourth proportional to 199,565.40, 298,619.10 and 147,077.40 is: 220,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565.40 : 298,619.10 = 147,077.40 : x
  2. Step 2: Convert to fraction form
    199,565.40/298,619.10 = 147,077.40/x
  3. Step 3: Cross multiply
    199,565.40x = 298,619.10 × 147,077.40
  4. Step 4: Simplify right side
    199,565.40x = 43,920,120,818.34
  5. Step 5: Solve for x
    x = 43,920,120,818.34/199,565.40
  6. Step 6: Final answer
    x = 220,078.84

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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.