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Finding the Fourth Proportional to 478,714.32, 660,509.64 and 287,874

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Solution

The fourth proportional to 478,714.32, 660,509.64 and 287,874 is: 397,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,714.32 : 660,509.64 = 287,874 : x
  2. Step 2: Convert to fraction form
    478,714.32/660,509.64 = 287,874/x
  3. Step 3: Cross multiply
    478,714.32x = 660,509.64 × 287,874
  4. Step 4: Simplify right side
    478,714.32x = 190,143,552,105.36
  5. Step 5: Solve for x
    x = 190,143,552,105.36/478,714.32
  6. Step 6: Final answer
    x = 397,196.29

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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.