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Finding the Fourth Proportional to 548,947.40, 822,960.30 and 286,291.40

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Solution

The fourth proportional to 548,947.40, 822,960.30 and 286,291.40 is: 429,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,947.40 : 822,960.30 = 286,291.40 : x
  2. Step 2: Convert to fraction form
    548,947.40/822,960.30 = 286,291.40/x
  3. Step 3: Cross multiply
    548,947.40x = 822,960.30 × 286,291.40
  4. Step 4: Simplify right side
    548,947.40x = 235,606,456,431.42
  5. Step 5: Solve for x
    x = 235,606,456,431.42/548,947.40
  6. Step 6: Final answer
    x = 429,196.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.