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Finding the Fourth Proportional to 345,298.55, 476,578.18 and 194,395.55

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Solution

The fourth proportional to 345,298.55, 476,578.18 and 194,395.55 is: 268,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,298.55 : 476,578.18 = 194,395.55 : x
  2. Step 2: Convert to fraction form
    345,298.55/476,578.18 = 194,395.55/x
  3. Step 3: Cross multiply
    345,298.55x = 476,578.18 × 194,395.55
  4. Step 4: Simplify right side
    345,298.55x = 92,644,675,279.20
  5. Step 5: Solve for x
    x = 92,644,675,279.20/345,298.55
  6. Step 6: Final answer
    x = 268,303.12

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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.