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Finding the Fourth Proportional to 257,106.47, 385,807.38 and 200,788.49

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Solution

The fourth proportional to 257,106.47, 385,807.38 and 200,788.49 is: 301,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,106.47 : 385,807.38 = 200,788.49 : x
  2. Step 2: Convert to fraction form
    257,106.47/385,807.38 = 200,788.49/x
  3. Step 3: Cross multiply
    257,106.47x = 385,807.38 × 200,788.49
  4. Step 4: Simplify right side
    257,106.47x = 77,465,679,332.02
  5. Step 5: Solve for x
    x = 77,465,679,332.02/257,106.47
  6. Step 6: Final answer
    x = 301,298.06

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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.