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Finding the Fourth Proportional to 253,615.20, 380,400.80 and 153,746

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Solution

The fourth proportional to 253,615.20, 380,400.80 and 153,746 is: 230,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,615.20 : 380,400.80 = 153,746 : x
  2. Step 2: Convert to fraction form
    253,615.20/380,400.80 = 153,746/x
  3. Step 3: Cross multiply
    253,615.20x = 380,400.80 × 153,746
  4. Step 4: Simplify right side
    253,615.20x = 58,485,101,396.80
  5. Step 5: Solve for x
    x = 58,485,101,396.80/253,615.20
  6. Step 6: Final answer
    x = 230,605.66

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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.