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Finding the Fourth Proportional to 273,256.38, 409,818.42 and 140,068.08

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Solution

The fourth proportional to 273,256.38, 409,818.42 and 140,068.08 is: 210,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,256.38 : 409,818.42 = 140,068.08 : x
  2. Step 2: Convert to fraction form
    273,256.38/409,818.42 = 140,068.08/x
  3. Step 3: Cross multiply
    273,256.38x = 409,818.42 × 140,068.08
  4. Step 4: Simplify right side
    273,256.38x = 57,402,479,238.03
  5. Step 5: Solve for x
    x = 57,402,479,238.03/273,256.38
  6. Step 6: Final answer
    x = 210,068.21

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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.