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Finding the Fourth Proportional to 278,013.98, 383,655.12 and 157,151

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Solution

The fourth proportional to 278,013.98, 383,655.12 and 157,151 is: 216,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.98 : 383,655.12 = 157,151 : x
  2. Step 2: Convert to fraction form
    278,013.98/383,655.12 = 157,151/x
  3. Step 3: Cross multiply
    278,013.98x = 383,655.12 × 157,151
  4. Step 4: Simplify right side
    278,013.98x = 60,291,785,763.12
  5. Step 5: Solve for x
    x = 60,291,785,763.12/278,013.98
  6. Step 6: Final answer
    x = 216,866.02

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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.