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Finding the Fourth Proportional to 315,096.75, 435,196.26 and 229,438.71

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Solution

The fourth proportional to 315,096.75, 435,196.26 and 229,438.71 is: 316,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.75 : 435,196.26 = 229,438.71 : x
  2. Step 2: Convert to fraction form
    315,096.75/435,196.26 = 229,438.71/x
  3. Step 3: Cross multiply
    315,096.75x = 435,196.26 × 229,438.71
  4. Step 4: Simplify right side
    315,096.75x = 99,850,868,491.22
  5. Step 5: Solve for x
    x = 99,850,868,491.22/315,096.75
  6. Step 6: Final answer
    x = 316,889.55

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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.