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Finding the Fourth Proportional to 278,239.80, 383,973.84 and 157,382.40

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Solution

The fourth proportional to 278,239.80, 383,973.84 and 157,382.40 is: 217,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,239.80 : 383,973.84 = 157,382.40 : x
  2. Step 2: Convert to fraction form
    278,239.80/383,973.84 = 157,382.40/x
  3. Step 3: Cross multiply
    278,239.80x = 383,973.84 × 157,382.40
  4. Step 4: Simplify right side
    278,239.80x = 60,430,724,476.42
  5. Step 5: Solve for x
    x = 60,430,724,476.42/278,239.80
  6. Step 6: Final answer
    x = 217,189.36

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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.