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Finding the Fourth Proportional to 526,465, 726,524.58 and 288,001

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Solution

The fourth proportional to 526,465, 726,524.58 and 288,001 is: 397,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,465 : 726,524.58 = 288,001 : x
  2. Step 2: Convert to fraction form
    526,465/726,524.58 = 288,001/x
  3. Step 3: Cross multiply
    526,465x = 726,524.58 × 288,001
  4. Step 4: Simplify right side
    526,465x = 209,239,805,564.58
  5. Step 5: Solve for x
    x = 209,239,805,564.58/526,465
  6. Step 6: Final answer
    x = 397,442.96

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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.