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Finding the Fourth Proportional to 713,231.76, 1,069,439.40 and 292,278

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Solution

The fourth proportional to 713,231.76, 1,069,439.40 and 292,278 is: 438,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,231.76 : 1,069,439.40 = 292,278 : x
  2. Step 2: Convert to fraction form
    713,231.76/1,069,439.40 = 292,278/x
  3. Step 3: Cross multiply
    713,231.76x = 1,069,439.40 × 292,278
  4. Step 4: Simplify right side
    713,231.76x = 312,573,608,953.20
  5. Step 5: Solve for x
    x = 312,573,608,953.20/713,231.76
  6. Step 6: Final answer
    x = 438,249.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.