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Finding the Fourth Proportional to 513,501.66, 770,194.17 and 139,553.82

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Solution

The fourth proportional to 513,501.66, 770,194.17 and 139,553.82 is: 209,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,501.66 : 770,194.17 = 139,553.82 : x
  2. Step 2: Convert to fraction form
    513,501.66/770,194.17 = 139,553.82/x
  3. Step 3: Cross multiply
    513,501.66x = 770,194.17 × 139,553.82
  4. Step 4: Simplify right side
    513,501.66x = 107,483,538,565.23
  5. Step 5: Solve for x
    x = 107,483,538,565.23/513,501.66
  6. Step 6: Final answer
    x = 209,314.88

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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.