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Finding the Fourth Proportional to 282,415.41, 423,363.51 and 122,391

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Solution

The fourth proportional to 282,415.41, 423,363.51 and 122,391 is: 183,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,415.41 : 423,363.51 = 122,391 : x
  2. Step 2: Convert to fraction form
    282,415.41/423,363.51 = 122,391/x
  3. Step 3: Cross multiply
    282,415.41x = 423,363.51 × 122,391
  4. Step 4: Simplify right side
    282,415.41x = 51,815,883,352.41
  5. Step 5: Solve for x
    x = 51,815,883,352.41/282,415.41
  6. Step 6: Final answer
    x = 183,473.99

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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.