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Finding the Fourth Proportional to 290,578.86, 435,622.05 and 113,209.38

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Solution

The fourth proportional to 290,578.86, 435,622.05 and 113,209.38 is: 169,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,578.86 : 435,622.05 = 113,209.38 : x
  2. Step 2: Convert to fraction form
    290,578.86/435,622.05 = 113,209.38/x
  3. Step 3: Cross multiply
    290,578.86x = 435,622.05 × 113,209.38
  4. Step 4: Simplify right side
    290,578.86x = 49,316,502,194.83
  5. Step 5: Solve for x
    x = 49,316,502,194.83/290,578.86
  6. Step 6: Final answer
    x = 169,718.14

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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.