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Finding the Fourth Proportional to 315,331.16, 435,630.92 and 206,693.37

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Solution

The fourth proportional to 315,331.16, 435,630.92 and 206,693.37 is: 285,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,331.16 : 435,630.92 = 206,693.37 : x
  2. Step 2: Convert to fraction form
    315,331.16/435,630.92 = 206,693.37/x
  3. Step 3: Cross multiply
    315,331.16x = 435,630.92 × 206,693.37
  4. Step 4: Simplify right side
    315,331.16x = 90,042,021,897.53
  5. Step 5: Solve for x
    x = 90,042,021,897.53/315,331.16
  6. Step 6: Final answer
    x = 285,547.50

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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.