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Finding the Fourth Proportional to 290,072.30, 435,129.42 and 121,422.98

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Solution

The fourth proportional to 290,072.30, 435,129.42 and 121,422.98 is: 182,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,072.30 : 435,129.42 = 121,422.98 : x
  2. Step 2: Convert to fraction form
    290,072.30/435,129.42 = 121,422.98/x
  3. Step 3: Cross multiply
    290,072.30x = 435,129.42 × 121,422.98
  4. Step 4: Simplify right side
    290,072.30x = 52,834,710,862.07
  5. Step 5: Solve for x
    x = 52,834,710,862.07/290,072.30
  6. Step 6: Final answer
    x = 182,143.25

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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.