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Finding the Fourth Proportional to 559,978.79, 772,771.50 and 305,329.97

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Solution

The fourth proportional to 559,978.79, 772,771.50 and 305,329.97 is: 421,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,978.79 : 772,771.50 = 305,329.97 : x
  2. Step 2: Convert to fraction form
    559,978.79/772,771.50 = 305,329.97/x
  3. Step 3: Cross multiply
    559,978.79x = 772,771.50 × 305,329.97
  4. Step 4: Simplify right side
    559,978.79x = 235,950,300,971.06
  5. Step 5: Solve for x
    x = 235,950,300,971.06/559,978.79
  6. Step 6: Final answer
    x = 421,355.78

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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.