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Finding the Fourth Proportional to 315,104.50, 435,206.96 and 229,446.46

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Solution

The fourth proportional to 315,104.50, 435,206.96 and 229,446.46 is: 316,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,104.50 : 435,206.96 = 229,446.46 : x
  2. Step 2: Convert to fraction form
    315,104.50/435,206.96 = 229,446.46/x
  3. Step 3: Cross multiply
    315,104.50x = 435,206.96 × 229,446.46
  4. Step 4: Simplify right side
    315,104.50x = 99,856,696,339.36
  5. Step 5: Solve for x
    x = 99,856,696,339.36/315,104.50
  6. Step 6: Final answer
    x = 316,900.25

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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.