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Finding the Fourth Proportional to 427,161.60, 589,874.40 and 342,895.68

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Solution

The fourth proportional to 427,161.60, 589,874.40 and 342,895.68 is: 473,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,161.60 : 589,874.40 = 342,895.68 : x
  2. Step 2: Convert to fraction form
    427,161.60/589,874.40 = 342,895.68/x
  3. Step 3: Cross multiply
    427,161.60x = 589,874.40 × 342,895.68
  4. Step 4: Simplify right side
    427,161.60x = 202,265,383,502.59
  5. Step 5: Solve for x
    x = 202,265,383,502.59/427,161.60
  6. Step 6: Final answer
    x = 473,510.22

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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.