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Finding the Fourth Proportional to 280,999.12, 387,700.68 and 167,780.56

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Solution

The fourth proportional to 280,999.12, 387,700.68 and 167,780.56 is: 231,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,999.12 : 387,700.68 = 167,780.56 : x
  2. Step 2: Convert to fraction form
    280,999.12/387,700.68 = 167,780.56/x
  3. Step 3: Cross multiply
    280,999.12x = 387,700.68 × 167,780.56
  4. Step 4: Simplify right side
    280,999.12x = 65,048,637,202.78
  5. Step 5: Solve for x
    x = 65,048,637,202.78/280,999.12
  6. Step 6: Final answer
    x = 231,490.54

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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.