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Finding the Fourth Proportional to 280,691.34, 387,349.50 and 153,364.20

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Solution

The fourth proportional to 280,691.34, 387,349.50 and 153,364.20 is: 211,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,691.34 : 387,349.50 = 153,364.20 : x
  2. Step 2: Convert to fraction form
    280,691.34/387,349.50 = 153,364.20/x
  3. Step 3: Cross multiply
    280,691.34x = 387,349.50 × 153,364.20
  4. Step 4: Simplify right side
    280,691.34x = 59,405,546,187.90
  5. Step 5: Solve for x
    x = 59,405,546,187.90/280,691.34
  6. Step 6: Final answer
    x = 211,640.11

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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.