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Finding the Fourth Proportional to 299,621.34, 413,479.59 and 165,485.34

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Solution

The fourth proportional to 299,621.34, 413,479.59 and 165,485.34 is: 228,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,621.34 : 413,479.59 = 165,485.34 : x
  2. Step 2: Convert to fraction form
    299,621.34/413,479.59 = 165,485.34/x
  3. Step 3: Cross multiply
    299,621.34x = 413,479.59 × 165,485.34
  4. Step 4: Simplify right side
    299,621.34x = 68,424,810,534.21
  5. Step 5: Solve for x
    x = 68,424,810,534.21/299,621.34
  6. Step 6: Final answer
    x = 228,370.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.