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Finding the Fourth Proportional to 253,214.32, 349,429.80 and 140,034.64

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Solution

The fourth proportional to 253,214.32, 349,429.80 and 140,034.64 is: 193,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,214.32 : 349,429.80 = 140,034.64 : x
  2. Step 2: Convert to fraction form
    253,214.32/349,429.80 = 140,034.64/x
  3. Step 3: Cross multiply
    253,214.32x = 349,429.80 × 140,034.64
  4. Step 4: Simplify right side
    253,214.32x = 48,932,276,248.27
  5. Step 5: Solve for x
    x = 48,932,276,248.27/253,214.32
  6. Step 6: Final answer
    x = 193,244.51

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1.5x scale

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.