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Finding the Fourth Proportional to 320,395.66, 441,937.71 and 205,492.30

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Solution

The fourth proportional to 320,395.66, 441,937.71 and 205,492.30 is: 283,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,395.66 : 441,937.71 = 205,492.30 : x
  2. Step 2: Convert to fraction form
    320,395.66/441,937.71 = 205,492.30/x
  3. Step 3: Cross multiply
    320,395.66x = 441,937.71 × 205,492.30
  4. Step 4: Simplify right side
    320,395.66x = 90,814,796,484.63
  5. Step 5: Solve for x
    x = 90,814,796,484.63/320,395.66
  6. Step 6: Final answer
    x = 283,445.78

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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.