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Finding the Fourth Proportional to 312,888.72, 431,714.10 and 211,103.01

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Solution

The fourth proportional to 312,888.72, 431,714.10 and 211,103.01 is: 291,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,888.72 : 431,714.10 = 211,103.01 : x
  2. Step 2: Convert to fraction form
    312,888.72/431,714.10 = 211,103.01/x
  3. Step 3: Cross multiply
    312,888.72x = 431,714.10 × 211,103.01
  4. Step 4: Simplify right side
    312,888.72x = 91,136,146,761.08
  5. Step 5: Solve for x
    x = 91,136,146,761.08/312,888.72
  6. Step 6: Final answer
    x = 291,273.35

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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.