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Finding the Fourth Proportional to 304,949.60, 420,830.64 and 167,127.92

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Solution

The fourth proportional to 304,949.60, 420,830.64 and 167,127.92 is: 230,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,949.60 : 420,830.64 = 167,127.92 : x
  2. Step 2: Convert to fraction form
    304,949.60/420,830.64 = 167,127.92/x
  3. Step 3: Cross multiply
    304,949.60x = 420,830.64 × 167,127.92
  4. Step 4: Simplify right side
    304,949.60x = 70,332,549,535.47
  5. Step 5: Solve for x
    x = 70,332,549,535.47/304,949.60
  6. Step 6: Final answer
    x = 230,636.63

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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.