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Finding the Fourth Proportional to 290,584.20, 435,875.56 and 77,352.12

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Solution

The fourth proportional to 290,584.20, 435,875.56 and 77,352.12 is: 116,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,584.20 : 435,875.56 = 77,352.12 : x
  2. Step 2: Convert to fraction form
    290,584.20/435,875.56 = 77,352.12/x
  3. Step 3: Cross multiply
    290,584.20x = 435,875.56 × 77,352.12
  4. Step 4: Simplify right side
    290,584.20x = 33,715,898,622.19
  5. Step 5: Solve for x
    x = 33,715,898,622.19/290,584.20
  6. Step 6: Final answer
    x = 116,027.98

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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.