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Finding the Fourth Proportional to 315,151.83, 472,731.85 and 104,789.77

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Solution

The fourth proportional to 315,151.83, 472,731.85 and 104,789.77 is: 157,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,151.83 : 472,731.85 = 104,789.77 : x
  2. Step 2: Convert to fraction form
    315,151.83/472,731.85 = 104,789.77/x
  3. Step 3: Cross multiply
    315,151.83x = 472,731.85 × 104,789.77
  4. Step 4: Simplify right side
    315,151.83x = 49,537,460,389.37
  5. Step 5: Solve for x
    x = 49,537,460,389.37/315,151.83
  6. Step 6: Final answer
    x = 157,186.02

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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.