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Finding the Fourth Proportional to 278,411.28, 384,203.48 and 163,702.88

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Solution

The fourth proportional to 278,411.28, 384,203.48 and 163,702.88 is: 225,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,411.28 : 384,203.48 = 163,702.88 : x
  2. Step 2: Convert to fraction form
    278,411.28/384,203.48 = 163,702.88/x
  3. Step 3: Cross multiply
    278,411.28x = 384,203.48 × 163,702.88
  4. Step 4: Simplify right side
    278,411.28x = 62,895,216,182.02
  5. Step 5: Solve for x
    x = 62,895,216,182.02/278,411.28
  6. Step 6: Final answer
    x = 225,907.57

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1.5x scale

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.