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Finding the Fourth Proportional to 315,780.90, 435,970.71 and 205,504.62

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Solution

The fourth proportional to 315,780.90, 435,970.71 and 205,504.62 is: 283,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,780.90 : 435,970.71 = 205,504.62 : x
  2. Step 2: Convert to fraction form
    315,780.90/435,970.71 = 205,504.62/x
  3. Step 3: Cross multiply
    315,780.90x = 435,970.71 × 205,504.62
  4. Step 4: Simplify right side
    315,780.90x = 89,593,995,089.68
  5. Step 5: Solve for x
    x = 89,593,995,089.68/315,780.90
  6. Step 6: Final answer
    x = 283,722.02

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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.