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Finding the Fourth Proportional to 316,456.53, 436,722.02 and 180,512.61

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Solution

The fourth proportional to 316,456.53, 436,722.02 and 180,512.61 is: 249,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,456.53 : 436,722.02 = 180,512.61 : x
  2. Step 2: Convert to fraction form
    316,456.53/436,722.02 = 180,512.61/x
  3. Step 3: Cross multiply
    316,456.53x = 436,722.02 × 180,512.61
  4. Step 4: Simplify right side
    316,456.53x = 78,833,831,674.67
  5. Step 5: Solve for x
    x = 78,833,831,674.67/316,456.53
  6. Step 6: Final answer
    x = 249,114.25

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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.