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Finding the Fourth Proportional to 315,189.48, 472,787.63 and 90,551.77

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Solution

The fourth proportional to 315,189.48, 472,787.63 and 90,551.77 is: 135,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,189.48 : 472,787.63 = 90,551.77 : x
  2. Step 2: Convert to fraction form
    315,189.48/472,787.63 = 90,551.77/x
  3. Step 3: Cross multiply
    315,189.48x = 472,787.63 × 90,551.77
  4. Step 4: Simplify right side
    315,189.48x = 42,811,758,604.23
  5. Step 5: Solve for x
    x = 42,811,758,604.23/315,189.48
  6. Step 6: Final answer
    x = 135,828.64

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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.