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Finding the Fourth Proportional to 442,912.70, 618,678.10 and 442,912.70

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Solution

The fourth proportional to 442,912.70, 618,678.10 and 442,912.70 is: 618,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.70 : 618,678.10 = 442,912.70 : x
  2. Step 2: Convert to fraction form
    442,912.70/618,678.10 = 442,912.70/x
  3. Step 3: Cross multiply
    442,912.70x = 618,678.10 × 442,912.70
  4. Step 4: Simplify right side
    442,912.70x = 274,020,387,701.87
  5. Step 5: Solve for x
    x = 274,020,387,701.87/442,912.70
  6. Step 6: Final answer
    x = 618,678.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.