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Finding the Fourth Proportional to 315,111.36, 472,421.28 and 157,260.48

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Solution

The fourth proportional to 315,111.36, 472,421.28 and 157,260.48 is: 235,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,111.36 : 472,421.28 = 157,260.48 : x
  2. Step 2: Convert to fraction form
    315,111.36/472,421.28 = 157,260.48/x
  3. Step 3: Cross multiply
    315,111.36x = 472,421.28 × 157,260.48
  4. Step 4: Simplify right side
    315,111.36x = 74,293,197,255.01
  5. Step 5: Solve for x
    x = 74,293,197,255.01/315,111.36
  6. Step 6: Final answer
    x = 235,768.07

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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.