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Finding the Fourth Proportional to 278,675.88, 384,732.12 and 183,459.36

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Solution

The fourth proportional to 278,675.88, 384,732.12 and 183,459.36 is: 253,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,675.88 : 384,732.12 = 183,459.36 : x
  2. Step 2: Convert to fraction form
    278,675.88/384,732.12 = 183,459.36/x
  3. Step 3: Cross multiply
    278,675.88x = 384,732.12 × 183,459.36
  4. Step 4: Simplify right side
    278,675.88x = 70,582,708,506.64
  5. Step 5: Solve for x
    x = 70,582,708,506.64/278,675.88
  6. Step 6: Final answer
    x = 253,278.86

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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.