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Finding the Fourth Proportional to 315,463.23, 472,801.05 and 157,736.79

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Solution

The fourth proportional to 315,463.23, 472,801.05 and 157,736.79 is: 236,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,463.23 : 472,801.05 = 157,736.79 : x
  2. Step 2: Convert to fraction form
    315,463.23/472,801.05 = 157,736.79/x
  3. Step 3: Cross multiply
    315,463.23x = 472,801.05 × 157,736.79
  4. Step 4: Simplify right side
    315,463.23x = 74,578,119,935.63
  5. Step 5: Solve for x
    x = 74,578,119,935.63/315,463.23
  6. Step 6: Final answer
    x = 236,408.28

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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.