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Finding the Fourth Proportional to 304,798.86, 420,603.92 and 168,824.87

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Solution

The fourth proportional to 304,798.86, 420,603.92 and 168,824.87 is: 232,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,798.86 : 420,603.92 = 168,824.87 : x
  2. Step 2: Convert to fraction form
    304,798.86/420,603.92 = 168,824.87/x
  3. Step 3: Cross multiply
    304,798.86x = 420,603.92 × 168,824.87
  4. Step 4: Simplify right side
    304,798.86x = 71,008,401,378.70
  5. Step 5: Solve for x
    x = 71,008,401,378.70/304,798.86
  6. Step 6: Final answer
    x = 232,968.07

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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.