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Finding the Fourth Proportional to 607,306, 838,082.34 and 339,034

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Solution

The fourth proportional to 607,306, 838,082.34 and 339,034 is: 467,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,306 : 838,082.34 = 339,034 : x
  2. Step 2: Convert to fraction form
    607,306/838,082.34 = 339,034/x
  3. Step 3: Cross multiply
    607,306x = 838,082.34 × 339,034
  4. Step 4: Simplify right side
    607,306x = 284,138,408,059.56
  5. Step 5: Solve for x
    x = 284,138,408,059.56/607,306
  6. Step 6: Final answer
    x = 467,866.95

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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.