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Finding the Fourth Proportional to 354,461.40, 489,139.56 and 211,218.12

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Solution

The fourth proportional to 354,461.40, 489,139.56 and 211,218.12 is: 291,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,461.40 : 489,139.56 = 211,218.12 : x
  2. Step 2: Convert to fraction form
    354,461.40/489,139.56 = 211,218.12/x
  3. Step 3: Cross multiply
    354,461.40x = 489,139.56 × 211,218.12
  4. Step 4: Simplify right side
    354,461.40x = 103,315,138,280.83
  5. Step 5: Solve for x
    x = 103,315,138,280.83/354,461.40
  6. Step 6: Final answer
    x = 291,470.77

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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.