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Finding the Fourth Proportional to 280,378.12, 386,923.80 and 153,046.12

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Solution

The fourth proportional to 280,378.12, 386,923.80 and 153,046.12 is: 211,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,378.12 : 386,923.80 = 153,046.12 : x
  2. Step 2: Convert to fraction form
    280,378.12/386,923.80 = 153,046.12/x
  3. Step 3: Cross multiply
    280,378.12x = 386,923.80 × 153,046.12
  4. Step 4: Simplify right side
    280,378.12x = 59,217,186,325.66
  5. Step 5: Solve for x
    x = 59,217,186,325.66/280,378.12
  6. Step 6: Final answer
    x = 211,204.73

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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.