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Finding the Fourth Proportional to 278,010, 383,659.70 and 157,144.10

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Solution

The fourth proportional to 278,010, 383,659.70 and 157,144.10 is: 216,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,010 : 383,659.70 = 157,144.10 : x
  2. Step 2: Convert to fraction form
    278,010/383,659.70 = 157,144.10/x
  3. Step 3: Cross multiply
    278,010x = 383,659.70 × 157,144.10
  4. Step 4: Simplify right side
    278,010x = 60,289,855,558.75
  5. Step 5: Solve for x
    x = 60,289,855,558.75/278,010
  6. Step 6: Final answer
    x = 216,862.18

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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.