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Finding the Fourth Proportional to 551,334, 760,784.20 and 309,614.62

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Solution

The fourth proportional to 551,334, 760,784.20 and 309,614.62 is: 427,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,334 : 760,784.20 = 309,614.62 : x
  2. Step 2: Convert to fraction form
    551,334/760,784.20 = 309,614.62/x
  3. Step 3: Cross multiply
    551,334x = 760,784.20 × 309,614.62
  4. Step 4: Simplify right side
    551,334x = 235,549,910,985.00
  5. Step 5: Solve for x
    x = 235,549,910,985.00/551,334
  6. Step 6: Final answer
    x = 427,236.32

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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.