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Finding the Fourth Proportional to 385,064.96, 531,226.92 and 257,781.56

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Solution

The fourth proportional to 385,064.96, 531,226.92 and 257,781.56 is: 355,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,064.96 : 531,226.92 = 257,781.56 : x
  2. Step 2: Convert to fraction form
    385,064.96/531,226.92 = 257,781.56/x
  3. Step 3: Cross multiply
    385,064.96x = 531,226.92 × 257,781.56
  4. Step 4: Simplify right side
    385,064.96x = 136,940,502,462.14
  5. Step 5: Solve for x
    x = 136,940,502,462.14/385,064.96
  6. Step 6: Final answer
    x = 355,629.62

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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.