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Finding the Fourth Proportional to 1,202,416, 1,659,386.24 and 665,872

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Solution

The fourth proportional to 1,202,416, 1,659,386.24 and 665,872 is: 918,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,416 : 1,659,386.24 = 665,872 : x
  2. Step 2: Convert to fraction form
    1,202,416/1,659,386.24 = 665,872/x
  3. Step 3: Cross multiply
    1,202,416x = 1,659,386.24 × 665,872
  4. Step 4: Simplify right side
    1,202,416x = 1,104,938,834,401.28
  5. Step 5: Solve for x
    x = 1,104,938,834,401.28/1,202,416
  6. Step 6: Final answer
    x = 918,932.25

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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.