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Finding the Fourth Proportional to 289,155.69, 399,034.77 and 161,831.28

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Solution

The fourth proportional to 289,155.69, 399,034.77 and 161,831.28 is: 223,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,155.69 : 399,034.77 = 161,831.28 : x
  2. Step 2: Convert to fraction form
    289,155.69/399,034.77 = 161,831.28/x
  3. Step 3: Cross multiply
    289,155.69x = 399,034.77 × 161,831.28
  4. Step 4: Simplify right side
    289,155.69x = 64,576,307,593.61
  5. Step 5: Solve for x
    x = 64,576,307,593.61/289,155.69
  6. Step 6: Final answer
    x = 223,327.12

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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.