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Finding the Fourth Proportional to 478,712.32, 660,506.88 and 287,872

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Solution

The fourth proportional to 478,712.32, 660,506.88 and 287,872 is: 397,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,712.32 : 660,506.88 = 287,872 : x
  2. Step 2: Convert to fraction form
    478,712.32/660,506.88 = 287,872/x
  3. Step 3: Cross multiply
    478,712.32x = 660,506.88 × 287,872
  4. Step 4: Simplify right side
    478,712.32x = 190,141,436,559.36
  5. Step 5: Solve for x
    x = 190,141,436,559.36/478,712.32
  6. Step 6: Final answer
    x = 397,193.53

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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.