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Finding the Fourth Proportional to 442,043.40, 663,410.70 and 205,415.40

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Solution

The fourth proportional to 442,043.40, 663,410.70 and 205,415.40 is: 308,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,043.40 : 663,410.70 = 205,415.40 : x
  2. Step 2: Convert to fraction form
    442,043.40/663,410.70 = 205,415.40/x
  3. Step 3: Cross multiply
    442,043.40x = 663,410.70 × 205,415.40
  4. Step 4: Simplify right side
    442,043.40x = 136,274,774,304.78
  5. Step 5: Solve for x
    x = 136,274,774,304.78/442,043.40
  6. Step 6: Final answer
    x = 308,283.70

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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.