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Finding the Fourth Proportional to 370,048, 510,665.28 and 200,282.08

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Solution

The fourth proportional to 370,048, 510,665.28 and 200,282.08 is: 276,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,048 : 510,665.28 = 200,282.08 : x
  2. Step 2: Convert to fraction form
    370,048/510,665.28 = 200,282.08/x
  3. Step 3: Cross multiply
    370,048x = 510,665.28 × 200,282.08
  4. Step 4: Simplify right side
    370,048x = 102,277,104,462.18
  5. Step 5: Solve for x
    x = 102,277,104,462.18/370,048
  6. Step 6: Final answer
    x = 276,388.75

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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.