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Finding the Fourth Proportional to 457,376.24, 686,130.78 and 141,858.56

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Solution

The fourth proportional to 457,376.24, 686,130.78 and 141,858.56 is: 212,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,376.24 : 686,130.78 = 141,858.56 : x
  2. Step 2: Convert to fraction form
    457,376.24/686,130.78 = 141,858.56/x
  3. Step 3: Cross multiply
    457,376.24x = 686,130.78 × 141,858.56
  4. Step 4: Simplify right side
    457,376.24x = 97,333,524,422.48
  5. Step 5: Solve for x
    x = 97,333,524,422.48/457,376.24
  6. Step 6: Final answer
    x = 212,808.44

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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.