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Finding the Fourth Proportional to 309,701.71, 464,508.83 and 99,312.31

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Solution

The fourth proportional to 309,701.71, 464,508.83 and 99,312.31 is: 148,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,701.71 : 464,508.83 = 99,312.31 : x
  2. Step 2: Convert to fraction form
    309,701.71/464,508.83 = 99,312.31/x
  3. Step 3: Cross multiply
    309,701.71x = 464,508.83 × 99,312.31
  4. Step 4: Simplify right side
    309,701.71x = 46,131,444,426.14
  5. Step 5: Solve for x
    x = 46,131,444,426.14/309,701.71
  6. Step 6: Final answer
    x = 148,954.44

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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.