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Finding the Fourth Proportional to 427,868.96, 640,857.40 and 292,612.48

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Solution

The fourth proportional to 427,868.96, 640,857.40 and 292,612.48 is: 438,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,868.96 : 640,857.40 = 292,612.48 : x
  2. Step 2: Convert to fraction form
    427,868.96/640,857.40 = 292,612.48/x
  3. Step 3: Cross multiply
    427,868.96x = 640,857.40 × 292,612.48
  4. Step 4: Simplify right side
    427,868.96x = 187,522,870,806.68
  5. Step 5: Solve for x
    x = 187,522,870,806.68/427,868.96
  6. Step 6: Final answer
    x = 438,271.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.