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Finding the Fourth Proportional to 559,644, 772,314.19 and 305,000.66

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Solution

The fourth proportional to 559,644, 772,314.19 and 305,000.66 is: 420,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,644 : 772,314.19 = 305,000.66 : x
  2. Step 2: Convert to fraction form
    559,644/772,314.19 = 305,000.66/x
  3. Step 3: Cross multiply
    559,644x = 772,314.19 × 305,000.66
  4. Step 4: Simplify right side
    559,644x = 235,556,337,677.37
  5. Step 5: Solve for x
    x = 235,556,337,677.37/559,644
  6. Step 6: Final answer
    x = 420,903.89

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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.