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Finding the Fourth Proportional to 291,050.80, 435,701.40 and 172,661.20

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Solution

The fourth proportional to 291,050.80, 435,701.40 and 172,661.20 is: 258,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,050.80 : 435,701.40 = 172,661.20 : x
  2. Step 2: Convert to fraction form
    291,050.80/435,701.40 = 172,661.20/x
  3. Step 3: Cross multiply
    291,050.80x = 435,701.40 × 172,661.20
  4. Step 4: Simplify right side
    291,050.80x = 75,228,726,565.68
  5. Step 5: Solve for x
    x = 75,228,726,565.68/291,050.80
  6. Step 6: Final answer
    x = 258,472.84

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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.