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Finding the Fourth Proportional to 517,600.60, 714,304.84 and 281,870.22

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Solution

The fourth proportional to 517,600.60, 714,304.84 and 281,870.22 is: 388,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,600.60 : 714,304.84 = 281,870.22 : x
  2. Step 2: Convert to fraction form
    517,600.60/714,304.84 = 281,870.22/x
  3. Step 3: Cross multiply
    517,600.60x = 714,304.84 × 281,870.22
  4. Step 4: Simplify right side
    517,600.60x = 201,341,262,397.87
  5. Step 5: Solve for x
    x = 201,341,262,397.87/517,600.60
  6. Step 6: Final answer
    x = 388,989.62

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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.