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Finding the Fourth Proportional to 402,418.60, 603,409.20 and 165,785.20

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Solution

The fourth proportional to 402,418.60, 603,409.20 and 165,785.20 is: 248,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,418.60 : 603,409.20 = 165,785.20 : x
  2. Step 2: Convert to fraction form
    402,418.60/603,409.20 = 165,785.20/x
  3. Step 3: Cross multiply
    402,418.60x = 603,409.20 × 165,785.20
  4. Step 4: Simplify right side
    402,418.60x = 100,036,314,903.84
  5. Step 5: Solve for x
    x = 100,036,314,903.84/402,418.60
  6. Step 6: Final answer
    x = 248,587.70

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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.