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Finding the Fourth Proportional to 390,012.80, 584,846.40 and 179,715.20

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Solution

The fourth proportional to 390,012.80, 584,846.40 and 179,715.20 is: 269,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,012.80 : 584,846.40 = 179,715.20 : x
  2. Step 2: Convert to fraction form
    390,012.80/584,846.40 = 179,715.20/x
  3. Step 3: Cross multiply
    390,012.80x = 584,846.40 × 179,715.20
  4. Step 4: Simplify right side
    390,012.80x = 105,105,787,745.28
  5. Step 5: Solve for x
    x = 105,105,787,745.28/390,012.80
  6. Step 6: Final answer
    x = 269,493.17

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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.