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Finding the Fourth Proportional to 309,456.32, 464,219.19 and 277,670.97

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Solution

The fourth proportional to 309,456.32, 464,219.19 and 277,670.97 is: 416,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,456.32 : 464,219.19 = 277,670.97 : x
  2. Step 2: Convert to fraction form
    309,456.32/464,219.19 = 277,670.97/x
  3. Step 3: Cross multiply
    309,456.32x = 464,219.19 × 277,670.97
  4. Step 4: Simplify right side
    309,456.32x = 128,900,192,779.91
  5. Step 5: Solve for x
    x = 128,900,192,779.91/309,456.32
  6. Step 6: Final answer
    x = 416,537.61

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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.