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Finding the Fourth Proportional to 309,822.84, 464,637.06 and 99,414

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Solution

The fourth proportional to 309,822.84, 464,637.06 and 99,414 is: 149,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,822.84 : 464,637.06 = 99,414 : x
  2. Step 2: Convert to fraction form
    309,822.84/464,637.06 = 99,414/x
  3. Step 3: Cross multiply
    309,822.84x = 464,637.06 × 99,414
  4. Step 4: Simplify right side
    309,822.84x = 46,191,428,682.84
  5. Step 5: Solve for x
    x = 46,191,428,682.84/309,822.84
  6. Step 6: Final answer
    x = 149,089.81

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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.