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Finding the Fourth Proportional to 257,888.68, 386,708.82 and 201,586.12

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Solution

The fourth proportional to 257,888.68, 386,708.82 and 201,586.12 is: 302,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,888.68 : 386,708.82 = 201,586.12 : x
  2. Step 2: Convert to fraction form
    257,888.68/386,708.82 = 201,586.12/x
  3. Step 3: Cross multiply
    257,888.68x = 386,708.82 × 201,586.12
  4. Step 4: Simplify right side
    257,888.68x = 77,955,130,593.58
  5. Step 5: Solve for x
    x = 77,955,130,593.58/257,888.68
  6. Step 6: Final answer
    x = 302,282.10

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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.