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Finding the Fourth Proportional to 608,739, 840,062.70 and 340,467

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Solution

The fourth proportional to 608,739, 840,062.70 and 340,467 is: 469,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,739 : 840,062.70 = 340,467 : x
  2. Step 2: Convert to fraction form
    608,739/840,062.70 = 340,467/x
  3. Step 3: Cross multiply
    608,739x = 840,062.70 × 340,467
  4. Step 4: Simplify right side
    608,739x = 286,013,627,280.90
  5. Step 5: Solve for x
    x = 286,013,627,280.90/608,739
  6. Step 6: Final answer
    x = 469,846.07

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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.