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Finding the Fourth Proportional to 278,941.72, 384,938.13 and 151,618

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Solution

The fourth proportional to 278,941.72, 384,938.13 and 151,618 is: 209,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,941.72 : 384,938.13 = 151,618 : x
  2. Step 2: Convert to fraction form
    278,941.72/384,938.13 = 151,618/x
  3. Step 3: Cross multiply
    278,941.72x = 384,938.13 × 151,618
  4. Step 4: Simplify right side
    278,941.72x = 58,363,549,394.34
  5. Step 5: Solve for x
    x = 58,363,549,394.34/278,941.72
  6. Step 6: Final answer
    x = 209,232.06

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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.