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Finding the Fourth Proportional to 551,698.38, 761,344.44 and 309,980.78

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Solution

The fourth proportional to 551,698.38, 761,344.44 and 309,980.78 is: 427,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,698.38 : 761,344.44 = 309,980.78 : x
  2. Step 2: Convert to fraction form
    551,698.38/761,344.44 = 309,980.78/x
  3. Step 3: Cross multiply
    551,698.38x = 761,344.44 × 309,980.78
  4. Step 4: Simplify right side
    551,698.38x = 236,002,143,359.86
  5. Step 5: Solve for x
    x = 236,002,143,359.86/551,698.38
  6. Step 6: Final answer
    x = 427,773.86

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1.5x scale

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.