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Finding the Fourth Proportional to 447,985.86, 671,745.51 and 211,264.98

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Solution

The fourth proportional to 447,985.86, 671,745.51 and 211,264.98 is: 316,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,985.86 : 671,745.51 = 211,264.98 : x
  2. Step 2: Convert to fraction form
    447,985.86/671,745.51 = 211,264.98/x
  3. Step 3: Cross multiply
    447,985.86x = 671,745.51 × 211,264.98
  4. Step 4: Simplify right side
    447,985.86x = 141,916,301,735.24
  5. Step 5: Solve for x
    x = 141,916,301,735.24/447,985.86
  6. Step 6: Final answer
    x = 316,787.46

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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.