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Finding the Fourth Proportional to 526,323.17, 726,330.31 and 290,584.64

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Solution

The fourth proportional to 526,323.17, 726,330.31 and 290,584.64 is: 401,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,323.17 : 726,330.31 = 290,584.64 : x
  2. Step 2: Convert to fraction form
    526,323.17/726,330.31 = 290,584.64/x
  3. Step 3: Cross multiply
    526,323.17x = 726,330.31 × 290,584.64
  4. Step 4: Simplify right side
    526,323.17x = 211,060,432,741.80
  5. Step 5: Solve for x
    x = 211,060,432,741.80/526,323.17
  6. Step 6: Final answer
    x = 401,009.20

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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.