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Finding the Fourth Proportional to 412,520.79, 618,781.71 and 113,004

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Solution

The fourth proportional to 412,520.79, 618,781.71 and 113,004 is: 169,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,520.79 : 618,781.71 = 113,004 : x
  2. Step 2: Convert to fraction form
    412,520.79/618,781.71 = 113,004/x
  3. Step 3: Cross multiply
    412,520.79x = 618,781.71 × 113,004
  4. Step 4: Simplify right side
    412,520.79x = 69,924,808,356.84
  5. Step 5: Solve for x
    x = 69,924,808,356.84/412,520.79
  6. Step 6: Final answer
    x = 169,506.14

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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.