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Finding the Fourth Proportional to 457,551.48, 686,093.22 and 191,239.32

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Solution

The fourth proportional to 457,551.48, 686,093.22 and 191,239.32 is: 286,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,551.48 : 686,093.22 = 191,239.32 : x
  2. Step 2: Convert to fraction form
    457,551.48/686,093.22 = 191,239.32/x
  3. Step 3: Cross multiply
    457,551.48x = 686,093.22 × 191,239.32
  4. Step 4: Simplify right side
    457,551.48x = 131,208,000,849.41
  5. Step 5: Solve for x
    x = 131,208,000,849.41/457,551.48
  6. Step 6: Final answer
    x = 286,761.18

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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.