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Finding the Fourth Proportional to 680,954.16, 938,708.56 and 435,902.84

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Solution

The fourth proportional to 680,954.16, 938,708.56 and 435,902.84 is: 600,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,954.16 : 938,708.56 = 435,902.84 : x
  2. Step 2: Convert to fraction form
    680,954.16/938,708.56 = 435,902.84/x
  3. Step 3: Cross multiply
    680,954.16x = 938,708.56 × 435,902.84
  4. Step 4: Simplify right side
    680,954.16x = 409,185,727,236.31
  5. Step 5: Solve for x
    x = 409,185,727,236.31/680,954.16
  6. Step 6: Final answer
    x = 600,900.55

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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.