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Finding the Fourth Proportional to 611,059.50, 843,262.11 and 342,787.50

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Solution

The fourth proportional to 611,059.50, 843,262.11 and 342,787.50 is: 473,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,059.50 : 843,262.11 = 342,787.50 : x
  2. Step 2: Convert to fraction form
    611,059.50/843,262.11 = 342,787.50/x
  3. Step 3: Cross multiply
    611,059.50x = 843,262.11 × 342,787.50
  4. Step 4: Simplify right side
    611,059.50x = 289,059,710,531.63
  5. Step 5: Solve for x
    x = 289,059,710,531.63/611,059.50
  6. Step 6: Final answer
    x = 473,046.75

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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.