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Finding the Fourth Proportional to 474,834.80, 712,289.08 and 137,881

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Solution

The fourth proportional to 474,834.80, 712,289.08 and 137,881 is: 206,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,834.80 : 712,289.08 = 137,881 : x
  2. Step 2: Convert to fraction form
    474,834.80/712,289.08 = 137,881/x
  3. Step 3: Cross multiply
    474,834.80x = 712,289.08 × 137,881
  4. Step 4: Simplify right side
    474,834.80x = 98,211,130,639.48
  5. Step 5: Solve for x
    x = 98,211,130,639.48/474,834.80
  6. Step 6: Final answer
    x = 206,832.21

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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.