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Finding the Fourth Proportional to 315,698.34, 435,658.23 and 172,454.70

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Solution

The fourth proportional to 315,698.34, 435,658.23 and 172,454.70 is: 237,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,698.34 : 435,658.23 = 172,454.70 : x
  2. Step 2: Convert to fraction form
    315,698.34/435,658.23 = 172,454.70/x
  3. Step 3: Cross multiply
    315,698.34x = 435,658.23 × 172,454.70
  4. Step 4: Simplify right side
    315,698.34x = 75,131,309,357.18
  5. Step 5: Solve for x
    x = 75,131,309,357.18/315,698.34
  6. Step 6: Final answer
    x = 237,984.49

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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.