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Finding the Fourth Proportional to 315,193.84, 472,721.52 and 90,504.16

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Solution

The fourth proportional to 315,193.84, 472,721.52 and 90,504.16 is: 135,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193.84 : 472,721.52 = 90,504.16 : x
  2. Step 2: Convert to fraction form
    315,193.84/472,721.52 = 90,504.16/x
  3. Step 3: Cross multiply
    315,193.84x = 472,721.52 × 90,504.16
  4. Step 4: Simplify right side
    315,193.84x = 42,783,264,081.52
  5. Step 5: Solve for x
    x = 42,783,264,081.52/315,193.84
  6. Step 6: Final answer
    x = 135,736.36

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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.