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Finding the Fourth Proportional to 304,499.31, 420,209.87 and 168,542.63

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Solution

The fourth proportional to 304,499.31, 420,209.87 and 168,542.63 is: 232,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,499.31 : 420,209.87 = 168,542.63 : x
  2. Step 2: Convert to fraction form
    304,499.31/420,209.87 = 168,542.63/x
  3. Step 3: Cross multiply
    304,499.31x = 420,209.87 × 168,542.63
  4. Step 4: Simplify right side
    304,499.31x = 70,823,276,641.76
  5. Step 5: Solve for x
    x = 70,823,276,641.76/304,499.31
  6. Step 6: Final answer
    x = 232,589.28

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1.5x scale

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.