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Finding the Fourth Proportional to 431,570.80, 648,036.60 and 254,213.20

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Solution

The fourth proportional to 431,570.80, 648,036.60 and 254,213.20 is: 381,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570.80 : 648,036.60 = 254,213.20 : x
  2. Step 2: Convert to fraction form
    431,570.80/648,036.60 = 254,213.20/x
  3. Step 3: Cross multiply
    431,570.80x = 648,036.60 × 254,213.20
  4. Step 4: Simplify right side
    431,570.80x = 164,739,457,803.12
  5. Step 5: Solve for x
    x = 164,739,457,803.12/431,570.80
  6. Step 6: Final answer
    x = 381,720.58

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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.