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Finding the Fourth Proportional to 315,103.50, 435,205.58 and 229,445.46

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Solution

The fourth proportional to 315,103.50, 435,205.58 and 229,445.46 is: 316,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,103.50 : 435,205.58 = 229,445.46 : x
  2. Step 2: Convert to fraction form
    315,103.50/435,205.58 = 229,445.46/x
  3. Step 3: Cross multiply
    315,103.50x = 435,205.58 × 229,445.46
  4. Step 4: Simplify right side
    315,103.50x = 99,855,943,350.44
  5. Step 5: Solve for x
    x = 99,855,943,350.44/315,103.50
  6. Step 6: Final answer
    x = 316,898.87

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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.