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Finding the Fourth Proportional to 650,476.16, 897,684.90 and 402,172.28

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Solution

The fourth proportional to 650,476.16, 897,684.90 and 402,172.28 is: 555,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,476.16 : 897,684.90 = 402,172.28 : x
  2. Step 2: Convert to fraction form
    650,476.16/897,684.90 = 402,172.28/x
  3. Step 3: Cross multiply
    650,476.16x = 897,684.90 × 402,172.28
  4. Step 4: Simplify right side
    650,476.16x = 361,023,982,954.57
  5. Step 5: Solve for x
    x = 361,023,982,954.57/650,476.16
  6. Step 6: Final answer
    x = 555,014.93

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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.