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Finding the Fourth Proportional to 290,097.18, 435,018.60 and 119,201.76

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Solution

The fourth proportional to 290,097.18, 435,018.60 and 119,201.76 is: 178,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,097.18 : 435,018.60 = 119,201.76 : x
  2. Step 2: Convert to fraction form
    290,097.18/435,018.60 = 119,201.76/x
  3. Step 3: Cross multiply
    290,097.18x = 435,018.60 × 119,201.76
  4. Step 4: Simplify right side
    290,097.18x = 51,854,982,752.74
  5. Step 5: Solve for x
    x = 51,854,982,752.74/290,097.18
  6. Step 6: Final answer
    x = 178,750.39

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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.