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Finding the Fourth Proportional to 391,272, 539,955.36 and 212,424

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Solution

The fourth proportional to 391,272, 539,955.36 and 212,424 is: 293,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,272 : 539,955.36 = 212,424 : x
  2. Step 2: Convert to fraction form
    391,272/539,955.36 = 212,424/x
  3. Step 3: Cross multiply
    391,272x = 539,955.36 × 212,424
  4. Step 4: Simplify right side
    391,272x = 114,699,477,392.64
  5. Step 5: Solve for x
    x = 114,699,477,392.64/391,272
  6. Step 6: Final answer
    x = 293,145.12

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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.