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Finding the Fourth Proportional to 471,820.80, 707,731.20 and 156,326.40

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Solution

The fourth proportional to 471,820.80, 707,731.20 and 156,326.40 is: 234,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,820.80 : 707,731.20 = 156,326.40 : x
  2. Step 2: Convert to fraction form
    471,820.80/707,731.20 = 156,326.40/x
  3. Step 3: Cross multiply
    471,820.80x = 707,731.20 × 156,326.40
  4. Step 4: Simplify right side
    471,820.80x = 110,637,070,663.68
  5. Step 5: Solve for x
    x = 110,637,070,663.68/471,820.80
  6. Step 6: Final answer
    x = 234,489.60

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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.