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Finding the Fourth Proportional to 571,209.86, 788,264.70 and 313,101.14

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Solution

The fourth proportional to 571,209.86, 788,264.70 and 313,101.14 is: 432,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,209.86 : 788,264.70 = 313,101.14 : x
  2. Step 2: Convert to fraction form
    571,209.86/788,264.70 = 313,101.14/x
  3. Step 3: Cross multiply
    571,209.86x = 788,264.70 × 313,101.14
  4. Step 4: Simplify right side
    571,209.86x = 246,806,572,250.43
  5. Step 5: Solve for x
    x = 246,806,572,250.43/571,209.86
  6. Step 6: Final answer
    x = 432,076.88

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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.