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Finding the Fourth Proportional to 304,459.52, 420,147.50 and 166,637.78

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Solution

The fourth proportional to 304,459.52, 420,147.50 and 166,637.78 is: 229,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,459.52 : 420,147.50 = 166,637.78 : x
  2. Step 2: Convert to fraction form
    304,459.52/420,147.50 = 166,637.78/x
  3. Step 3: Cross multiply
    304,459.52x = 420,147.50 × 166,637.78
  4. Step 4: Simplify right side
    304,459.52x = 70,012,443,738.62
  5. Step 5: Solve for x
    x = 70,012,443,738.62/304,459.52
  6. Step 6: Final answer
    x = 229,956.50

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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.