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Finding the Fourth Proportional to 320,192.70, 480,159.45 and 109,722.30

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Solution

The fourth proportional to 320,192.70, 480,159.45 and 109,722.30 is: 164,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,192.70 : 480,159.45 = 109,722.30 : x
  2. Step 2: Convert to fraction form
    320,192.70/480,159.45 = 109,722.30/x
  3. Step 3: Cross multiply
    320,192.70x = 480,159.45 × 109,722.30
  4. Step 4: Simplify right side
    320,192.70x = 52,684,199,220.74
  5. Step 5: Solve for x
    x = 52,684,199,220.74/320,192.70
  6. Step 6: Final answer
    x = 164,539.04

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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.