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Finding the Fourth Proportional to 257,872.60, 386,808.90 and 201,885.40

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Solution

The fourth proportional to 257,872.60, 386,808.90 and 201,885.40 is: 302,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,872.60 : 386,808.90 = 201,885.40 : x
  2. Step 2: Convert to fraction form
    257,872.60/386,808.90 = 201,885.40/x
  3. Step 3: Cross multiply
    257,872.60x = 386,808.90 × 201,885.40
  4. Step 4: Simplify right side
    257,872.60x = 78,091,069,500.06
  5. Step 5: Solve for x
    x = 78,091,069,500.06/257,872.60
  6. Step 6: Final answer
    x = 302,828.10

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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.