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Finding the Fourth Proportional to 3,468,878.06, 4,786,931.64 and 1,920,207.30

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Solution

The fourth proportional to 3,468,878.06, 4,786,931.64 and 1,920,207.30 is: 2,649,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468,878.06 : 4,786,931.64 = 1,920,207.30 : x
  2. Step 2: Convert to fraction form
    3,468,878.06/4,786,931.64 = 1,920,207.30/x
  3. Step 3: Cross multiply
    3,468,878.06x = 4,786,931.64 × 1,920,207.30
  4. Step 4: Simplify right side
    3,468,878.06x = 9,191,901,079,728.97
  5. Step 5: Solve for x
    x = 9,191,901,079,728.97/3,468,878.06
  6. Step 6: Final answer
    x = 2,649,819.60

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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.