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Finding the Fourth Proportional to 288,029.90, 397,473 and 160,702.76

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Solution

The fourth proportional to 288,029.90, 397,473 and 160,702.76 is: 221,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,029.90 : 397,473 = 160,702.76 : x
  2. Step 2: Convert to fraction form
    288,029.90/397,473 = 160,702.76/x
  3. Step 3: Cross multiply
    288,029.90x = 397,473 × 160,702.76
  4. Step 4: Simplify right side
    288,029.90x = 63,875,008,125.48
  5. Step 5: Solve for x
    x = 63,875,008,125.48/288,029.90
  6. Step 6: Final answer
    x = 221,765.20

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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.