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Finding the Fourth Proportional to 290,438.40, 435,657.60 and 77,205.90

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Solution

The fourth proportional to 290,438.40, 435,657.60 and 77,205.90 is: 115,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.40 : 435,657.60 = 77,205.90 : x
  2. Step 2: Convert to fraction form
    290,438.40/435,657.60 = 77,205.90/x
  3. Step 3: Cross multiply
    290,438.40x = 435,657.60 × 77,205.90
  4. Step 4: Simplify right side
    290,438.40x = 33,635,337,099.84
  5. Step 5: Solve for x
    x = 33,635,337,099.84/290,438.40
  6. Step 6: Final answer
    x = 115,808.85

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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.