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Finding the Fourth Proportional to 354,456.95, 489,131.12 and 201,473.87

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Solution

The fourth proportional to 354,456.95, 489,131.12 and 201,473.87 is: 278,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,456.95 : 489,131.12 = 201,473.87 : x
  2. Step 2: Convert to fraction form
    354,456.95/489,131.12 = 201,473.87/x
  3. Step 3: Cross multiply
    354,456.95x = 489,131.12 × 201,473.87
  4. Step 4: Simplify right side
    354,456.95x = 98,547,137,741.86
  5. Step 5: Solve for x
    x = 98,547,137,741.86/354,456.95
  6. Step 6: Final answer
    x = 278,022.87

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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.