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Finding the Fourth Proportional to 278,216, 383,938.08 and 158,984

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Solution

The fourth proportional to 278,216, 383,938.08 and 158,984 is: 219,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,216 : 383,938.08 = 158,984 : x
  2. Step 2: Convert to fraction form
    278,216/383,938.08 = 158,984/x
  3. Step 3: Cross multiply
    278,216x = 383,938.08 × 158,984
  4. Step 4: Simplify right side
    278,216x = 61,040,011,710.72
  5. Step 5: Solve for x
    x = 61,040,011,710.72/278,216
  6. Step 6: Final answer
    x = 219,397.92

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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.