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Finding the Fourth Proportional to 385,463.80, 578,857.50 and 236,578.36

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Solution

The fourth proportional to 385,463.80, 578,857.50 and 236,578.36 is: 355,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,463.80 : 578,857.50 = 236,578.36 : x
  2. Step 2: Convert to fraction form
    385,463.80/578,857.50 = 236,578.36/x
  3. Step 3: Cross multiply
    385,463.80x = 578,857.50 × 236,578.36
  4. Step 4: Simplify right side
    385,463.80x = 136,945,158,023.70
  5. Step 5: Solve for x
    x = 136,945,158,023.70/385,463.80
  6. Step 6: Final answer
    x = 355,273.72

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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.