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Finding the Fourth Proportional to 278,448.48, 384,276.42 and 157,543.74

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Solution

The fourth proportional to 278,448.48, 384,276.42 and 157,543.74 is: 217,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,448.48 : 384,276.42 = 157,543.74 : x
  2. Step 2: Convert to fraction form
    278,448.48/384,276.42 = 157,543.74/x
  3. Step 3: Cross multiply
    278,448.48x = 384,276.42 × 157,543.74
  4. Step 4: Simplify right side
    278,448.48x = 60,540,344,400.61
  5. Step 5: Solve for x
    x = 60,540,344,400.61/278,448.48
  6. Step 6: Final answer
    x = 217,420.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.