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Finding the Fourth Proportional to 282,979, 390,415.71 and 192,177.46

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Solution

The fourth proportional to 282,979, 390,415.71 and 192,177.46 is: 265,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,979 : 390,415.71 = 192,177.46 : x
  2. Step 2: Convert to fraction form
    282,979/390,415.71 = 192,177.46/x
  3. Step 3: Cross multiply
    282,979x = 390,415.71 × 192,177.46
  4. Step 4: Simplify right side
    282,979x = 75,029,099,491.90
  5. Step 5: Solve for x
    x = 75,029,099,491.90/282,979
  6. Step 6: Final answer
    x = 265,140.17

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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.