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Finding the Fourth Proportional to 650,820.88, 976,921.44 and 576,424

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Solution

The fourth proportional to 650,820.88, 976,921.44 and 576,424 is: 865,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,820.88 : 976,921.44 = 576,424 : x
  2. Step 2: Convert to fraction form
    650,820.88/976,921.44 = 576,424/x
  3. Step 3: Cross multiply
    650,820.88x = 976,921.44 × 576,424
  4. Step 4: Simplify right side
    650,820.88x = 563,120,964,130.56
  5. Step 5: Solve for x
    x = 563,120,964,130.56/650,820.88
  6. Step 6: Final answer
    x = 865,247.23

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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.