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Finding the Fourth Proportional to 456,103.20, 684,300.60 and 156,775.80

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Solution

The fourth proportional to 456,103.20, 684,300.60 and 156,775.80 is: 235,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,103.20 : 684,300.60 = 156,775.80 : x
  2. Step 2: Convert to fraction form
    456,103.20/684,300.60 = 156,775.80/x
  3. Step 3: Cross multiply
    456,103.20x = 684,300.60 × 156,775.80
  4. Step 4: Simplify right side
    456,103.20x = 107,281,774,005.48
  5. Step 5: Solve for x
    x = 107,281,774,005.48/456,103.20
  6. Step 6: Final answer
    x = 235,213.82

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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.