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Finding the Fourth Proportional to 278,702.21, 384,543.15 and 163,985.87

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Solution

The fourth proportional to 278,702.21, 384,543.15 and 163,985.87 is: 226,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,702.21 : 384,543.15 = 163,985.87 : x
  2. Step 2: Convert to fraction form
    278,702.21/384,543.15 = 163,985.87/x
  3. Step 3: Cross multiply
    278,702.21x = 384,543.15 × 163,985.87
  4. Step 4: Simplify right side
    278,702.21x = 63,059,641,082.57
  5. Step 5: Solve for x
    x = 63,059,641,082.57/278,702.21
  6. Step 6: Final answer
    x = 226,261.72

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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.