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Finding the Fourth Proportional to 290,114.53, 435,151.24 and 76,877.72

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Solution

The fourth proportional to 290,114.53, 435,151.24 and 76,877.72 is: 115,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,114.53 : 435,151.24 = 76,877.72 : x
  2. Step 2: Convert to fraction form
    290,114.53/435,151.24 = 76,877.72/x
  3. Step 3: Cross multiply
    290,114.53x = 435,151.24 × 76,877.72
  4. Step 4: Simplify right side
    290,114.53x = 33,453,435,186.37
  5. Step 5: Solve for x
    x = 33,453,435,186.37/290,114.53
  6. Step 6: Final answer
    x = 115,311.13

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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.