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Finding the Fourth Proportional to 526,724.88, 726,878 and 285,011.72

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Solution

The fourth proportional to 526,724.88, 726,878 and 285,011.72 is: 393,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,724.88 : 726,878 = 285,011.72 : x
  2. Step 2: Convert to fraction form
    526,724.88/726,878 = 285,011.72/x
  3. Step 3: Cross multiply
    526,724.88x = 726,878 × 285,011.72
  4. Step 4: Simplify right side
    526,724.88x = 207,168,749,010.16
  5. Step 5: Solve for x
    x = 207,168,749,010.16/526,724.88
  6. Step 6: Final answer
    x = 393,314.91

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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.