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Finding the Fourth Proportional to 571,213.50, 788,242.54 and 313,041.21

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Solution

The fourth proportional to 571,213.50, 788,242.54 and 313,041.21 is: 431,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,213.50 : 788,242.54 = 313,041.21 : x
  2. Step 2: Convert to fraction form
    571,213.50/788,242.54 = 313,041.21/x
  3. Step 3: Cross multiply
    571,213.50x = 788,242.54 × 313,041.21
  4. Step 4: Simplify right side
    571,213.50x = 246,752,398,495.07
  5. Step 5: Solve for x
    x = 246,752,398,495.07/571,213.50
  6. Step 6: Final answer
    x = 431,979.28

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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.