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Finding the Fourth Proportional to 290,582.72, 435,873.44 and 77,350.68

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Solution

The fourth proportional to 290,582.72, 435,873.44 and 77,350.68 is: 116,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,582.72 : 435,873.44 = 77,350.68 : x
  2. Step 2: Convert to fraction form
    290,582.72/435,873.44 = 77,350.68/x
  3. Step 3: Cross multiply
    290,582.72x = 435,873.44 × 77,350.68
  4. Step 4: Simplify right side
    290,582.72x = 33,715,106,977.94
  5. Step 5: Solve for x
    x = 33,715,106,977.94/290,582.72
  6. Step 6: Final answer
    x = 116,025.85

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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.