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Finding the Fourth Proportional to 700,702.10, 966,968.70 and 378,412.10

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Solution

The fourth proportional to 700,702.10, 966,968.70 and 378,412.10 is: 522,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,702.10 : 966,968.70 = 378,412.10 : x
  2. Step 2: Convert to fraction form
    700,702.10/966,968.70 = 378,412.10/x
  3. Step 3: Cross multiply
    700,702.10x = 966,968.70 × 378,412.10
  4. Step 4: Simplify right side
    700,702.10x = 365,912,656,401.27
  5. Step 5: Solve for x
    x = 365,912,656,401.27/700,702.10
  6. Step 6: Final answer
    x = 522,208.59

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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.