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Finding the Fourth Proportional to 309,721.71, 464,538.78 and 99,332.31

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Solution

The fourth proportional to 309,721.71, 464,538.78 and 99,332.31 is: 148,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,721.71 : 464,538.78 = 99,332.31 : x
  2. Step 2: Convert to fraction form
    309,721.71/464,538.78 = 99,332.31/x
  3. Step 3: Cross multiply
    309,721.71x = 464,538.78 × 99,332.31
  4. Step 4: Simplify right side
    309,721.71x = 46,143,710,101.98
  5. Step 5: Solve for x
    x = 46,143,710,101.98/309,721.71
  6. Step 6: Final answer
    x = 148,984.42

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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.