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Finding the Fourth Proportional to 526,678.52, 726,811.19 and 284,955.79

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Solution

The fourth proportional to 526,678.52, 726,811.19 and 284,955.79 is: 393,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,678.52 : 726,811.19 = 284,955.79 : x
  2. Step 2: Convert to fraction form
    526,678.52/726,811.19 = 284,955.79/x
  3. Step 3: Cross multiply
    526,678.52x = 726,811.19 × 284,955.79
  4. Step 4: Simplify right side
    526,678.52x = 207,109,051,768.46
  5. Step 5: Solve for x
    x = 207,109,051,768.46/526,678.52
  6. Step 6: Final answer
    x = 393,236.18

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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.