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Finding the Fourth Proportional to 436,503.76, 654,534.16 and 199,643.48

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Solution

The fourth proportional to 436,503.76, 654,534.16 and 199,643.48 is: 299,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,503.76 : 654,534.16 = 199,643.48 : x
  2. Step 2: Convert to fraction form
    436,503.76/654,534.16 = 199,643.48/x
  3. Step 3: Cross multiply
    436,503.76x = 654,534.16 × 199,643.48
  4. Step 4: Simplify right side
    436,503.76x = 130,673,477,481.28
  5. Step 5: Solve for x
    x = 130,673,477,481.28/436,503.76
  6. Step 6: Final answer
    x = 299,363.92

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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.