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Finding the Fourth Proportional to 254,681.48, 381,890.38 and 114,319.24

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Solution

The fourth proportional to 254,681.48, 381,890.38 and 114,319.24 is: 171,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,681.48 : 381,890.38 = 114,319.24 : x
  2. Step 2: Convert to fraction form
    254,681.48/381,890.38 = 114,319.24/x
  3. Step 3: Cross multiply
    254,681.48x = 381,890.38 × 114,319.24
  4. Step 4: Simplify right side
    254,681.48x = 43,657,418,004.91
  5. Step 5: Solve for x
    x = 43,657,418,004.91/254,681.48
  6. Step 6: Final answer
    x = 171,419.68

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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.