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Finding the Fourth Proportional to 280,076.32, 420,301.28 and 145,264.65

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Solution

The fourth proportional to 280,076.32, 420,301.28 and 145,264.65 is: 217,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,076.32 : 420,301.28 = 145,264.65 : x
  2. Step 2: Convert to fraction form
    280,076.32/420,301.28 = 145,264.65/x
  3. Step 3: Cross multiply
    280,076.32x = 420,301.28 × 145,264.65
  4. Step 4: Simplify right side
    280,076.32x = 61,054,918,333.75
  5. Step 5: Solve for x
    x = 61,054,918,333.75/280,076.32
  6. Step 6: Final answer
    x = 217,993.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.