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Finding the Fourth Proportional to 290,483.52, 435,747.02 and 80,119.50

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Solution

The fourth proportional to 290,483.52, 435,747.02 and 80,119.50 is: 120,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,483.52 : 435,747.02 = 80,119.50 : x
  2. Step 2: Convert to fraction form
    290,483.52/435,747.02 = 80,119.50/x
  3. Step 3: Cross multiply
    290,483.52x = 435,747.02 × 80,119.50
  4. Step 4: Simplify right side
    290,483.52x = 34,911,832,968.29
  5. Step 5: Solve for x
    x = 34,911,832,968.29/290,483.52
  6. Step 6: Final answer
    x = 120,185.24

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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.