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Finding the Fourth Proportional to 290,433.12, 435,262.08 and 155,220

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Solution

The fourth proportional to 290,433.12, 435,262.08 and 155,220 is: 232,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,433.12 : 435,262.08 = 155,220 : x
  2. Step 2: Convert to fraction form
    290,433.12/435,262.08 = 155,220/x
  3. Step 3: Cross multiply
    290,433.12x = 435,262.08 × 155,220
  4. Step 4: Simplify right side
    290,433.12x = 67,561,380,057.60
  5. Step 5: Solve for x
    x = 67,561,380,057.60/290,433.12
  6. Step 6: Final answer
    x = 232,622.85

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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.