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Finding the Fourth Proportional to 306,801, 460,480.68 and 157,144.32

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Solution

The fourth proportional to 306,801, 460,480.68 and 157,144.32 is: 235,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,801 : 460,480.68 = 157,144.32 : x
  2. Step 2: Convert to fraction form
    306,801/460,480.68 = 157,144.32/x
  3. Step 3: Cross multiply
    306,801x = 460,480.68 × 157,144.32
  4. Step 4: Simplify right side
    306,801x = 72,361,923,331.74
  5. Step 5: Solve for x
    x = 72,361,923,331.74/306,801
  6. Step 6: Final answer
    x = 235,859.48

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1.5x scale

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.