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Finding the Fourth Proportional to 614,383.43, 847,746.34 and 342,391.91

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Solution

The fourth proportional to 614,383.43, 847,746.34 and 342,391.91 is: 472,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,383.43 : 847,746.34 = 342,391.91 : x
  2. Step 2: Convert to fraction form
    614,383.43/847,746.34 = 342,391.91/x
  3. Step 3: Cross multiply
    614,383.43x = 847,746.34 × 342,391.91
  4. Step 4: Simplify right side
    614,383.43x = 290,261,483,453.40
  5. Step 5: Solve for x
    x = 290,261,483,453.40/614,383.43
  6. Step 6: Final answer
    x = 472,443.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.