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Finding the Fourth Proportional to 442,285.80, 663,428.70 and 264,701.40

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Solution

The fourth proportional to 442,285.80, 663,428.70 and 264,701.40 is: 397,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,285.80 : 663,428.70 = 264,701.40 : x
  2. Step 2: Convert to fraction form
    442,285.80/663,428.70 = 264,701.40/x
  3. Step 3: Cross multiply
    442,285.80x = 663,428.70 × 264,701.40
  4. Step 4: Simplify right side
    442,285.80x = 175,610,505,690.18
  5. Step 5: Solve for x
    x = 175,610,505,690.18/442,285.80
  6. Step 6: Final answer
    x = 397,052.10

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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.