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Finding the Fourth Proportional to 320,172.65, 441,642.47 and 205,412.25

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Solution

The fourth proportional to 320,172.65, 441,642.47 and 205,412.25 is: 283,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,172.65 : 441,642.47 = 205,412.25 : x
  2. Step 2: Convert to fraction form
    320,172.65/441,642.47 = 205,412.25/x
  3. Step 3: Cross multiply
    320,172.65x = 441,642.47 × 205,412.25
  4. Step 4: Simplify right side
    320,172.65x = 90,718,772,431.20
  5. Step 5: Solve for x
    x = 90,718,772,431.20/320,172.65
  6. Step 6: Final answer
    x = 283,343.30

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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.