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Finding the Fourth Proportional to 257,394.64, 385,862.32 and 130,964.17

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Solution

The fourth proportional to 257,394.64, 385,862.32 and 130,964.17 is: 196,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,394.64 : 385,862.32 = 130,964.17 : x
  2. Step 2: Convert to fraction form
    257,394.64/385,862.32 = 130,964.17/x
  3. Step 3: Cross multiply
    257,394.64x = 385,862.32 × 130,964.17
  4. Step 4: Simplify right side
    257,394.64x = 50,534,137,818.25
  5. Step 5: Solve for x
    x = 50,534,137,818.25/257,394.64
  6. Step 6: Final answer
    x = 196,329.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.