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Finding the Fourth Proportional to 354,615.80, 489,302.86 and 211,389.20

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Solution

The fourth proportional to 354,615.80, 489,302.86 and 211,389.20 is: 291,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,615.80 : 489,302.86 = 211,389.20 : x
  2. Step 2: Convert to fraction form
    354,615.80/489,302.86 = 211,389.20/x
  3. Step 3: Cross multiply
    354,615.80x = 489,302.86 × 211,389.20
  4. Step 4: Simplify right side
    354,615.80x = 103,433,340,133.11
  5. Step 5: Solve for x
    x = 103,433,340,133.11/354,615.80
  6. Step 6: Final answer
    x = 291,677.19

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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.