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Finding the Fourth Proportional to 462,720.51, 693,728.91 and 320,186.88

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Solution

The fourth proportional to 462,720.51, 693,728.91 and 320,186.88 is: 480,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,720.51 : 693,728.91 = 320,186.88 : x
  2. Step 2: Convert to fraction form
    462,720.51/693,728.91 = 320,186.88/x
  3. Step 3: Cross multiply
    462,720.51x = 693,728.91 × 320,186.88
  4. Step 4: Simplify right side
    462,720.51x = 222,122,895,258.70
  5. Step 5: Solve for x
    x = 222,122,895,258.70/462,720.51
  6. Step 6: Final answer
    x = 480,036.85

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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.