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Finding the Fourth Proportional to 316,102.22, 436,220.80 and 172,862.22

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Solution

The fourth proportional to 316,102.22, 436,220.80 and 172,862.22 is: 238,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,102.22 : 436,220.80 = 172,862.22 : x
  2. Step 2: Convert to fraction form
    316,102.22/436,220.80 = 172,862.22/x
  3. Step 3: Cross multiply
    316,102.22x = 436,220.80 × 172,862.22
  4. Step 4: Simplify right side
    316,102.22x = 75,406,095,898.18
  5. Step 5: Solve for x
    x = 75,406,095,898.18/316,102.22
  6. Step 6: Final answer
    x = 238,549.72

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1.5x scale

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.