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Finding the Fourth Proportional to 571,914, 857,871 and 151,189.88

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Solution

The fourth proportional to 571,914, 857,871 and 151,189.88 is: 226,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,914 : 857,871 = 151,189.88 : x
  2. Step 2: Convert to fraction form
    571,914/857,871 = 151,189.88/x
  3. Step 3: Cross multiply
    571,914x = 857,871 × 151,189.88
  4. Step 4: Simplify right side
    571,914x = 129,701,409,256.13
  5. Step 5: Solve for x
    x = 129,701,409,256.13/571,914
  6. Step 6: Final answer
    x = 226,784.81

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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.