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Finding the Fourth Proportional to 290,262.60, 435,562.04 and 121,768

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Solution

The fourth proportional to 290,262.60, 435,562.04 and 121,768 is: 182,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,262.60 : 435,562.04 = 121,768 : x
  2. Step 2: Convert to fraction form
    290,262.60/435,562.04 = 121,768/x
  3. Step 3: Cross multiply
    290,262.60x = 435,562.04 × 121,768
  4. Step 4: Simplify right side
    290,262.60x = 53,037,518,486.72
  5. Step 5: Solve for x
    x = 53,037,518,486.72/290,262.60
  6. Step 6: Final answer
    x = 182,722.54

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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.