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Finding the Fourth Proportional to 315,341.24, 435,019.55 and 206,397.62

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Solution

The fourth proportional to 315,341.24, 435,019.55 and 206,397.62 is: 284,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,341.24 : 435,019.55 = 206,397.62 : x
  2. Step 2: Convert to fraction form
    315,341.24/435,019.55 = 206,397.62/x
  3. Step 3: Cross multiply
    315,341.24x = 435,019.55 × 206,397.62
  4. Step 4: Simplify right side
    315,341.24x = 89,786,996,566.39
  5. Step 5: Solve for x
    x = 89,786,996,566.39/315,341.24
  6. Step 6: Final answer
    x = 284,729.64

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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.