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Finding the Fourth Proportional to 526,468, 726,528.72 and 288,004

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Solution

The fourth proportional to 526,468, 726,528.72 and 288,004 is: 397,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,468 : 726,528.72 = 288,004 : x
  2. Step 2: Convert to fraction form
    526,468/726,528.72 = 288,004/x
  3. Step 3: Cross multiply
    526,468x = 726,528.72 × 288,004
  4. Step 4: Simplify right side
    526,468x = 209,243,177,474.88
  5. Step 5: Solve for x
    x = 209,243,177,474.88/526,468
  6. Step 6: Final answer
    x = 397,447.10

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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.