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Finding the Fourth Proportional to 427,314.31, 640,676.22 and 187,312.93

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Solution

The fourth proportional to 427,314.31, 640,676.22 and 187,312.93 is: 280,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,314.31 : 640,676.22 = 187,312.93 : x
  2. Step 2: Convert to fraction form
    427,314.31/640,676.22 = 187,312.93/x
  3. Step 3: Cross multiply
    427,314.31x = 640,676.22 × 187,312.93
  4. Step 4: Simplify right side
    427,314.31x = 120,006,942,829.67
  5. Step 5: Solve for x
    x = 120,006,942,829.67/427,314.31
  6. Step 6: Final answer
    x = 280,839.98

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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.