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Finding the Fourth Proportional to 378,997.95, 568,495.71 and 260,309.46

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Solution

The fourth proportional to 378,997.95, 568,495.71 and 260,309.46 is: 390,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,997.95 : 568,495.71 = 260,309.46 : x
  2. Step 2: Convert to fraction form
    378,997.95/568,495.71 = 260,309.46/x
  3. Step 3: Cross multiply
    378,997.95x = 568,495.71 × 260,309.46
  4. Step 4: Simplify right side
    378,997.95x = 147,984,811,282.42
  5. Step 5: Solve for x
    x = 147,984,811,282.42/378,997.95
  6. Step 6: Final answer
    x = 390,463.36

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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.