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Finding the Fourth Proportional to 309,709.71, 464,520.83 and 99,320.31

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Solution

The fourth proportional to 309,709.71, 464,520.83 and 99,320.31 is: 148,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,709.71 : 464,520.83 = 99,320.31 : x
  2. Step 2: Convert to fraction form
    309,709.71/464,520.83 = 99,320.31/x
  3. Step 3: Cross multiply
    309,709.71x = 464,520.83 × 99,320.31
  4. Step 4: Simplify right side
    309,709.71x = 46,136,352,340.46
  5. Step 5: Solve for x
    x = 46,136,352,340.46/309,709.71
  6. Step 6: Final answer
    x = 148,966.44

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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.