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Finding the Fourth Proportional to 309,730.74, 427,376.61 and 182,431.68

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Solution

The fourth proportional to 309,730.74, 427,376.61 and 182,431.68 is: 251,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.74 : 427,376.61 = 182,431.68 : x
  2. Step 2: Convert to fraction form
    309,730.74/427,376.61 = 182,431.68/x
  3. Step 3: Cross multiply
    309,730.74x = 427,376.61 × 182,431.68
  4. Step 4: Simplify right side
    309,730.74x = 77,967,032,955.00
  5. Step 5: Solve for x
    x = 77,967,032,955.00/309,730.74
  6. Step 6: Final answer
    x = 251,725.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.