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Finding the Fourth Proportional to 391,452, 540,203.76 and 212,604

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Solution

The fourth proportional to 391,452, 540,203.76 and 212,604 is: 293,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,452 : 540,203.76 = 212,604 : x
  2. Step 2: Convert to fraction form
    391,452/540,203.76 = 212,604/x
  3. Step 3: Cross multiply
    391,452x = 540,203.76 × 212,604
  4. Step 4: Simplify right side
    391,452x = 114,849,480,191.04
  5. Step 5: Solve for x
    x = 114,849,480,191.04/391,452
  6. Step 6: Final answer
    x = 293,393.52

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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.