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Finding the Fourth Proportional to 287,640.60, 431,096.40 and 109,910.40

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Solution

The fourth proportional to 287,640.60, 431,096.40 and 109,910.40 is: 164,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,640.60 : 431,096.40 = 109,910.40 : x
  2. Step 2: Convert to fraction form
    287,640.60/431,096.40 = 109,910.40/x
  3. Step 3: Cross multiply
    287,640.60x = 431,096.40 × 109,910.40
  4. Step 4: Simplify right side
    287,640.60x = 47,381,977,762.56
  5. Step 5: Solve for x
    x = 47,381,977,762.56/287,640.60
  6. Step 6: Final answer
    x = 164,726.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.