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Finding the Fourth Proportional to 381,726.40, 572,128.80 and 194,641.60

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Solution

The fourth proportional to 381,726.40, 572,128.80 and 194,641.60 is: 291,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726.40 : 572,128.80 = 194,641.60 : x
  2. Step 2: Convert to fraction form
    381,726.40/572,128.80 = 194,641.60/x
  3. Step 3: Cross multiply
    381,726.40x = 572,128.80 × 194,641.60
  4. Step 4: Simplify right side
    381,726.40x = 111,360,065,038.08
  5. Step 5: Solve for x
    x = 111,360,065,038.08/381,726.40
  6. Step 6: Final answer
    x = 291,727.44

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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.