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Finding the Fourth Proportional to 289,293.90, 434,010.12 and 120,720.45

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Solution

The fourth proportional to 289,293.90, 434,010.12 and 120,720.45 is: 181,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,293.90 : 434,010.12 = 120,720.45 : x
  2. Step 2: Convert to fraction form
    289,293.90/434,010.12 = 120,720.45/x
  3. Step 3: Cross multiply
    289,293.90x = 434,010.12 × 120,720.45
  4. Step 4: Simplify right side
    289,293.90x = 52,393,896,990.95
  5. Step 5: Solve for x
    x = 52,393,896,990.95/289,293.90
  6. Step 6: Final answer
    x = 181,109.58

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1.5x scale

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.