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Finding the Fourth Proportional to 262,427.46, 393,703.65 and 84,934.47

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Solution

The fourth proportional to 262,427.46, 393,703.65 and 84,934.47 is: 127,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,427.46 : 393,703.65 = 84,934.47 : x
  2. Step 2: Convert to fraction form
    262,427.46/393,703.65 = 84,934.47/x
  3. Step 3: Cross multiply
    262,427.46x = 393,703.65 × 84,934.47
  4. Step 4: Simplify right side
    262,427.46x = 33,439,010,849.82
  5. Step 5: Solve for x
    x = 33,439,010,849.82/262,427.46
  6. Step 6: Final answer
    x = 127,421.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.