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Finding the Fourth Proportional to 847,878, 1,271,820 and 256,902

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Solution

The fourth proportional to 847,878, 1,271,820 and 256,902 is: 385,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,878 : 1,271,820 = 256,902 : x
  2. Step 2: Convert to fraction form
    847,878/1,271,820 = 256,902/x
  3. Step 3: Cross multiply
    847,878x = 1,271,820 × 256,902
  4. Step 4: Simplify right side
    847,878x = 326,733,101,640
  5. Step 5: Solve for x
    x = 326,733,101,640/847,878
  6. Step 6: Final answer
    x = 385,353.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.