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Finding the Fourth Proportional to 412,810.20, 618,617.67 and 284,594.87

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Solution

The fourth proportional to 412,810.20, 618,617.67 and 284,594.87 is: 426,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,810.20 : 618,617.67 = 284,594.87 : x
  2. Step 2: Convert to fraction form
    412,810.20/618,617.67 = 284,594.87/x
  3. Step 3: Cross multiply
    412,810.20x = 618,617.67 × 284,594.87
  4. Step 4: Simplify right side
    412,810.20x = 176,055,417,453.51
  5. Step 5: Solve for x
    x = 176,055,417,453.51/412,810.20
  6. Step 6: Final answer
    x = 426,480.30

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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.