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Finding the Fourth Proportional to 299,643.60, 413,508.20 and 165,507.60

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Solution

The fourth proportional to 299,643.60, 413,508.20 and 165,507.60 is: 228,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,643.60 : 413,508.20 = 165,507.60 : x
  2. Step 2: Convert to fraction form
    299,643.60/413,508.20 = 165,507.60/x
  3. Step 3: Cross multiply
    299,643.60x = 413,508.20 × 165,507.60
  4. Step 4: Simplify right side
    299,643.60x = 68,438,749,762.32
  5. Step 5: Solve for x
    x = 68,438,749,762.32/299,643.60
  6. Step 6: Final answer
    x = 228,400.51

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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.