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Finding the Fourth Proportional to 278,012.65, 383,653.30 and 157,149.70

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Solution

The fourth proportional to 278,012.65, 383,653.30 and 157,149.70 is: 216,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,012.65 : 383,653.30 = 157,149.70 : x
  2. Step 2: Convert to fraction form
    278,012.65/383,653.30 = 157,149.70/x
  3. Step 3: Cross multiply
    278,012.65x = 383,653.30 × 157,149.70
  4. Step 4: Simplify right side
    278,012.65x = 60,291,000,999.01
  5. Step 5: Solve for x
    x = 60,291,000,999.01/278,012.65
  6. Step 6: Final answer
    x = 216,864.24

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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.