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Finding the Fourth Proportional to 447,985.74, 671,745.31 and 211,264.86

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Solution

The fourth proportional to 447,985.74, 671,745.31 and 211,264.86 is: 316,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,985.74 : 671,745.31 = 211,264.86 : x
  2. Step 2: Convert to fraction form
    447,985.74/671,745.31 = 211,264.86/x
  3. Step 3: Cross multiply
    447,985.74x = 671,745.31 × 211,264.86
  4. Step 4: Simplify right side
    447,985.74x = 141,916,178,872.81
  5. Step 5: Solve for x
    x = 141,916,178,872.81/447,985.74
  6. Step 6: Final answer
    x = 316,787.27

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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.