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Finding the Fourth Proportional to 354,593.40, 489,402.36 and 211,362.72

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Solution

The fourth proportional to 354,593.40, 489,402.36 and 211,362.72 is: 291,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,593.40 : 489,402.36 = 211,362.72 : x
  2. Step 2: Convert to fraction form
    354,593.40/489,402.36 = 211,362.72/x
  3. Step 3: Cross multiply
    354,593.40x = 489,402.36 × 211,362.72
  4. Step 4: Simplify right side
    354,593.40x = 103,441,413,984.02
  5. Step 5: Solve for x
    x = 103,441,413,984.02/354,593.40
  6. Step 6: Final answer
    x = 291,718.39

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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.