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Finding the Fourth Proportional to 707,449.32, 976,170.06 and 405,585

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Solution

The fourth proportional to 707,449.32, 976,170.06 and 405,585 is: 559,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,449.32 : 976,170.06 = 405,585 : x
  2. Step 2: Convert to fraction form
    707,449.32/976,170.06 = 405,585/x
  3. Step 3: Cross multiply
    707,449.32x = 976,170.06 × 405,585
  4. Step 4: Simplify right side
    707,449.32x = 395,919,933,785.10
  5. Step 5: Solve for x
    x = 395,919,933,785.10/707,449.32
  6. Step 6: Final answer
    x = 559,644.24

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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.