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Finding the Fourth Proportional to 354,264.73, 488,897.15 and 211,005.29

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Solution

The fourth proportional to 354,264.73, 488,897.15 and 211,005.29 is: 291,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,264.73 : 488,897.15 = 211,005.29 : x
  2. Step 2: Convert to fraction form
    354,264.73/488,897.15 = 211,005.29/x
  3. Step 3: Cross multiply
    354,264.73x = 488,897.15 × 211,005.29
  4. Step 4: Simplify right side
    354,264.73x = 103,159,885,083.14
  5. Step 5: Solve for x
    x = 103,159,885,083.14/354,264.73
  6. Step 6: Final answer
    x = 291,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.