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Finding the Fourth Proportional to 526,466, 726,525.96 and 288,002

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Solution

The fourth proportional to 526,466, 726,525.96 and 288,002 is: 397,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,466 : 726,525.96 = 288,002 : x
  2. Step 2: Convert to fraction form
    526,466/726,525.96 = 288,002/x
  3. Step 3: Cross multiply
    526,466x = 726,525.96 × 288,002
  4. Step 4: Simplify right side
    526,466x = 209,240,929,531.92
  5. Step 5: Solve for x
    x = 209,240,929,531.92/526,466
  6. Step 6: Final answer
    x = 397,444.34

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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.