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Finding the Fourth Proportional to 289,403.48, 434,105.40 and 120,831.95

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Solution

The fourth proportional to 289,403.48, 434,105.40 and 120,831.95 is: 181,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,403.48 : 434,105.40 = 120,831.95 : x
  2. Step 2: Convert to fraction form
    289,403.48/434,105.40 = 120,831.95/x
  3. Step 3: Cross multiply
    289,403.48x = 434,105.40 × 120,831.95
  4. Step 4: Simplify right side
    289,403.48x = 52,453,801,685.45
  5. Step 5: Solve for x
    x = 52,453,801,685.45/289,403.48
  6. Step 6: Final answer
    x = 181,248.00

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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.