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Finding the Fourth Proportional to 304,973.76, 420,851.64 and 169,013.52

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Solution

The fourth proportional to 304,973.76, 420,851.64 and 169,013.52 is: 233,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,973.76 : 420,851.64 = 169,013.52 : x
  2. Step 2: Convert to fraction form
    304,973.76/420,851.64 = 169,013.52/x
  3. Step 3: Cross multiply
    304,973.76x = 420,851.64 × 169,013.52
  4. Step 4: Simplify right side
    304,973.76x = 71,129,617,074.17
  5. Step 5: Solve for x
    x = 71,129,617,074.17/304,973.76
  6. Step 6: Final answer
    x = 233,231.92

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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.