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Finding the Fourth Proportional to 316,044, 436,140.72 and 172,805.16

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Solution

The fourth proportional to 316,044, 436,140.72 and 172,805.16 is: 238,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,044 : 436,140.72 = 172,805.16 : x
  2. Step 2: Convert to fraction form
    316,044/436,140.72 = 172,805.16/x
  3. Step 3: Cross multiply
    316,044x = 436,140.72 × 172,805.16
  4. Step 4: Simplify right side
    316,044x = 75,367,366,902.12
  5. Step 5: Solve for x
    x = 75,367,366,902.12/316,044
  6. Step 6: Final answer
    x = 238,471.12

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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.