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Finding the Fourth Proportional to 310,203.65, 428,071.71 and 172,382.12

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Solution

The fourth proportional to 310,203.65, 428,071.71 and 172,382.12 is: 237,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,203.65 : 428,071.71 = 172,382.12 : x
  2. Step 2: Convert to fraction form
    310,203.65/428,071.71 = 172,382.12/x
  3. Step 3: Cross multiply
    310,203.65x = 428,071.71 × 172,382.12
  4. Step 4: Simplify right side
    310,203.65x = 73,791,906,741.47
  5. Step 5: Solve for x
    x = 73,791,906,741.47/310,203.65
  6. Step 6: Final answer
    x = 237,882.13

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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.