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Finding the Fourth Proportional to 354,595.25, 489,321.51 and 201,670.64

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Solution

The fourth proportional to 354,595.25, 489,321.51 and 201,670.64 is: 278,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,595.25 : 489,321.51 = 201,670.64 : x
  2. Step 2: Convert to fraction form
    354,595.25/489,321.51 = 201,670.64/x
  3. Step 3: Cross multiply
    354,595.25x = 489,321.51 × 201,670.64
  4. Step 4: Simplify right side
    354,595.25x = 98,681,779,640.86
  5. Step 5: Solve for x
    x = 98,681,779,640.86/354,595.25
  6. Step 6: Final answer
    x = 278,294.14

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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.