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Finding the Fourth Proportional to 650,474.16, 897,682.14 and 402,170.28

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Solution

The fourth proportional to 650,474.16, 897,682.14 and 402,170.28 is: 555,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,474.16 : 897,682.14 = 402,170.28 : x
  2. Step 2: Convert to fraction form
    650,474.16/897,682.14 = 402,170.28/x
  3. Step 3: Cross multiply
    650,474.16x = 897,682.14 × 402,170.28
  4. Step 4: Simplify right side
    650,474.16x = 361,021,077,594.80
  5. Step 5: Solve for x
    x = 361,021,077,594.80/650,474.16
  6. Step 6: Final answer
    x = 555,012.17

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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.