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Finding the Fourth Proportional to 290,686.40, 434,992.80 and 201,521.60

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Solution

The fourth proportional to 290,686.40, 434,992.80 and 201,521.60 is: 301,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,686.40 : 434,992.80 = 201,521.60 : x
  2. Step 2: Convert to fraction form
    290,686.40/434,992.80 = 201,521.60/x
  3. Step 3: Cross multiply
    290,686.40x = 434,992.80 × 201,521.60
  4. Step 4: Simplify right side
    290,686.40x = 87,660,445,044.48
  5. Step 5: Solve for x
    x = 87,660,445,044.48/290,686.40
  6. Step 6: Final answer
    x = 301,563.63

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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.