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Finding the Fourth Proportional to 290,276.58, 435,582.99 and 121,782

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Solution

The fourth proportional to 290,276.58, 435,582.99 and 121,782 is: 182,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,276.58 : 435,582.99 = 121,782 : x
  2. Step 2: Convert to fraction form
    290,276.58/435,582.99 = 121,782/x
  3. Step 3: Cross multiply
    290,276.58x = 435,582.99 × 121,782
  4. Step 4: Simplify right side
    290,276.58x = 53,046,167,688.18
  5. Step 5: Solve for x
    x = 53,046,167,688.18/290,276.58
  6. Step 6: Final answer
    x = 182,743.53

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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.