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Finding the Fourth Proportional to 354,441.32, 489,008.10 and 201,464.04

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Solution

The fourth proportional to 354,441.32, 489,008.10 and 201,464.04 is: 277,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,441.32 : 489,008.10 = 201,464.04 : x
  2. Step 2: Convert to fraction form
    354,441.32/489,008.10 = 201,464.04/x
  3. Step 3: Cross multiply
    354,441.32x = 489,008.10 × 201,464.04
  4. Step 4: Simplify right side
    354,441.32x = 98,517,547,418.72
  5. Step 5: Solve for x
    x = 98,517,547,418.72/354,441.32
  6. Step 6: Final answer
    x = 277,951.64

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1.5x scale

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.