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Finding the Fourth Proportional to 316,102.07, 436,220.61 and 172,862.07

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Solution

The fourth proportional to 316,102.07, 436,220.61 and 172,862.07 is: 238,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.07 : 436,220.61 = 172,862.07 : x
  2. Step 2: Convert to fraction form
    316,102.07/436,220.61 = 172,862.07/x
  3. Step 3: Cross multiply
    316,102.07x = 436,220.61 × 172,862.07
  4. Step 4: Simplify right side
    316,102.07x = 75,406,000,476.34
  5. Step 5: Solve for x
    x = 75,406,000,476.34/316,102.07
  6. Step 6: Final answer
    x = 238,549.53

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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.