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Finding the Fourth Proportional to 517,611.25, 714,319.29 and 281,880.63

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Solution

The fourth proportional to 517,611.25, 714,319.29 and 281,880.63 is: 389,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,611.25 : 714,319.29 = 281,880.63 : x
  2. Step 2: Convert to fraction form
    517,611.25/714,319.29 = 281,880.63/x
  3. Step 3: Cross multiply
    517,611.25x = 714,319.29 × 281,880.63
  4. Step 4: Simplify right side
    517,611.25x = 201,352,771,486.35
  5. Step 5: Solve for x
    x = 201,352,771,486.35/517,611.25
  6. Step 6: Final answer
    x = 389,003.85

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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.