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Finding the Fourth Proportional to 253,818.20, 380,728.17 and 64,278.51

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Solution

The fourth proportional to 253,818.20, 380,728.17 and 64,278.51 is: 96,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,818.20 : 380,728.17 = 64,278.51 : x
  2. Step 2: Convert to fraction form
    253,818.20/380,728.17 = 64,278.51/x
  3. Step 3: Cross multiply
    253,818.20x = 380,728.17 × 64,278.51
  4. Step 4: Simplify right side
    253,818.20x = 24,472,639,482.63
  5. Step 5: Solve for x
    x = 24,472,639,482.63/253,818.20
  6. Step 6: Final answer
    x = 96,417.99

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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.