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Finding the Fourth Proportional to 448,411.88, 618,458.47 and 287,281.92

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Solution

The fourth proportional to 448,411.88, 618,458.47 and 287,281.92 is: 396,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,411.88 : 618,458.47 = 287,281.92 : x
  2. Step 2: Convert to fraction form
    448,411.88/618,458.47 = 287,281.92/x
  3. Step 3: Cross multiply
    448,411.88x = 618,458.47 × 287,281.92
  4. Step 4: Simplify right side
    448,411.88x = 177,671,936,701.86
  5. Step 5: Solve for x
    x = 177,671,936,701.86/448,411.88
  6. Step 6: Final answer
    x = 396,224.87

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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.