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Finding the Fourth Proportional to 391,955.52, 540,318.69 and 305,816.88

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Solution

The fourth proportional to 391,955.52, 540,318.69 and 305,816.88 is: 421,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,955.52 : 540,318.69 = 305,816.88 : x
  2. Step 2: Convert to fraction form
    391,955.52/540,318.69 = 305,816.88/x
  3. Step 3: Cross multiply
    391,955.52x = 540,318.69 × 305,816.88
  4. Step 4: Simplify right side
    391,955.52x = 165,238,575,981.49
  5. Step 5: Solve for x
    x = 165,238,575,981.49/391,955.52
  6. Step 6: Final answer
    x = 421,574.82

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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.