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Finding the Fourth Proportional to 290,692.40, 435,989.25 and 80,330.94

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Solution

The fourth proportional to 290,692.40, 435,989.25 and 80,330.94 is: 120,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,692.40 : 435,989.25 = 80,330.94 : x
  2. Step 2: Convert to fraction form
    290,692.40/435,989.25 = 80,330.94/x
  3. Step 3: Cross multiply
    290,692.40x = 435,989.25 × 80,330.94
  4. Step 4: Simplify right side
    290,692.40x = 35,023,426,282.40
  5. Step 5: Solve for x
    x = 35,023,426,282.40/290,692.40
  6. Step 6: Final answer
    x = 120,482.77

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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.