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Finding the Fourth Proportional to 290,427.70, 435,058.35 and 165,622.90

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Solution

The fourth proportional to 290,427.70, 435,058.35 and 165,622.90 is: 248,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,427.70 : 435,058.35 = 165,622.90 : x
  2. Step 2: Convert to fraction form
    290,427.70/435,058.35 = 165,622.90/x
  3. Step 3: Cross multiply
    290,427.70x = 435,058.35 × 165,622.90
  4. Step 4: Simplify right side
    290,427.70x = 72,055,625,596.22
  5. Step 5: Solve for x
    x = 72,055,625,596.22/290,427.70
  6. Step 6: Final answer
    x = 248,101.77

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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.