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Finding the Fourth Proportional to 315,304.74, 435,129.84 and 172,074.06

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Solution

The fourth proportional to 315,304.74, 435,129.84 and 172,074.06 is: 237,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,304.74 : 435,129.84 = 172,074.06 : x
  2. Step 2: Convert to fraction form
    315,304.74/435,129.84 = 172,074.06/x
  3. Step 3: Cross multiply
    315,304.74x = 435,129.84 × 172,074.06
  4. Step 4: Simplify right side
    315,304.74x = 74,874,558,195.95
  5. Step 5: Solve for x
    x = 74,874,558,195.95/315,304.74
  6. Step 6: Final answer
    x = 237,467.28

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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.