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Finding the Fourth Proportional to 271,296,010.20, 406,944,015.30 and 260,714,429.40

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Solution

The fourth proportional to 271,296,010.20, 406,944,015.30 and 260,714,429.40 is: 391,071,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,010.20 : 406,944,015.30 = 260,714,429.40 : x
  2. Step 2: Convert to fraction form
    271,296,010.20/406,944,015.30 = 260,714,429.40/x
  3. Step 3: Cross multiply
    271,296,010.20x = 406,944,015.30 × 260,714,429.40
  4. Step 4: Simplify right side
    271,296,010.20x = 106,096,176,746,684,368
  5. Step 5: Solve for x
    x = 106,096,176,746,684,368/271,296,010.20
  6. Step 6: Final answer
    x = 391,071,644.10

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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.