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Finding the Fourth Proportional to 290,296.78, 435,223.55 and 164,079.54

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Solution

The fourth proportional to 290,296.78, 435,223.55 and 164,079.54 is: 245,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296.78 : 435,223.55 = 164,079.54 : x
  2. Step 2: Convert to fraction form
    290,296.78/435,223.55 = 164,079.54/x
  3. Step 3: Cross multiply
    290,296.78x = 435,223.55 × 164,079.54
  4. Step 4: Simplify right side
    290,296.78x = 71,411,280,291.37
  5. Step 5: Solve for x
    x = 71,411,280,291.37/290,296.78
  6. Step 6: Final answer
    x = 245,994.05

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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.