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Finding the Fourth Proportional to 280,178.56, 386,644.59 and 159,319.84

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Solution

The fourth proportional to 280,178.56, 386,644.59 and 159,319.84 is: 219,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,178.56 : 386,644.59 = 159,319.84 : x
  2. Step 2: Convert to fraction form
    280,178.56/386,644.59 = 159,319.84/x
  3. Step 3: Cross multiply
    280,178.56x = 386,644.59 × 159,319.84
  4. Step 4: Simplify right side
    280,178.56x = 61,600,154,215.67
  5. Step 5: Solve for x
    x = 61,600,154,215.67/280,178.56
  6. Step 6: Final answer
    x = 219,860.34

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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.