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Finding the Fourth Proportional to 205,390, 307,581.80 and 169,632.52

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Solution

The fourth proportional to 205,390, 307,581.80 and 169,632.52 is: 254,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,390 : 307,581.80 = 169,632.52 : x
  2. Step 2: Convert to fraction form
    205,390/307,581.80 = 169,632.52/x
  3. Step 3: Cross multiply
    205,390x = 307,581.80 × 169,632.52
  4. Step 4: Simplify right side
    205,390x = 52,175,875,840.14
  5. Step 5: Solve for x
    x = 52,175,875,840.14/205,390
  6. Step 6: Final answer
    x = 254,033.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.