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Finding the Fourth Proportional to 526,304, 726,316.80 and 287,840

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Solution

The fourth proportional to 526,304, 726,316.80 and 287,840 is: 397,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,304 : 726,316.80 = 287,840 : x
  2. Step 2: Convert to fraction form
    526,304/726,316.80 = 287,840/x
  3. Step 3: Cross multiply
    526,304x = 726,316.80 × 287,840
  4. Step 4: Simplify right side
    526,304x = 209,063,027,712
  5. Step 5: Solve for x
    x = 209,063,027,712/526,304
  6. Step 6: Final answer
    x = 397,228.65

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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.