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Finding the Fourth Proportional to 628,822.76, 867,791 and 342,358.56

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Solution

The fourth proportional to 628,822.76, 867,791 and 342,358.56 is: 472,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,822.76 : 867,791 = 342,358.56 : x
  2. Step 2: Convert to fraction form
    628,822.76/867,791 = 342,358.56/x
  3. Step 3: Cross multiply
    628,822.76x = 867,791 × 342,358.56
  4. Step 4: Simplify right side
    628,822.76x = 297,095,677,140.96
  5. Step 5: Solve for x
    x = 297,095,677,140.96/628,822.76
  6. Step 6: Final answer
    x = 472,463.30

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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.