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Finding the Fourth Proportional to 354,461.78, 489,140.01 and 211,218.62

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Solution

The fourth proportional to 354,461.78, 489,140.01 and 211,218.62 is: 291,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,461.78 : 489,140.01 = 211,218.62 : x
  2. Step 2: Convert to fraction form
    354,461.78/489,140.01 = 211,218.62/x
  3. Step 3: Cross multiply
    354,461.78x = 489,140.01 × 211,218.62
  4. Step 4: Simplify right side
    354,461.78x = 103,315,477,898.99
  5. Step 5: Solve for x
    x = 103,315,477,898.99/354,461.78
  6. Step 6: Final answer
    x = 291,471.42

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1.5x scale

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.