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Finding the Fourth Proportional to 448,474.47, 618,544.40 and 287,345.22

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Solution

The fourth proportional to 448,474.47, 618,544.40 and 287,345.22 is: 396,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,474.47 : 618,544.40 = 287,345.22 : x
  2. Step 2: Convert to fraction form
    448,474.47/618,544.40 = 287,345.22/x
  3. Step 3: Cross multiply
    448,474.47x = 618,544.40 × 287,345.22
  4. Step 4: Simplify right side
    448,474.47x = 177,735,775,261.04
  5. Step 5: Solve for x
    x = 177,735,775,261.04/448,474.47
  6. Step 6: Final answer
    x = 396,311.91

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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.