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Finding the Fourth Proportional to 565,194.86, 779,968.73 and 310,562.45

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Solution

The fourth proportional to 565,194.86, 779,968.73 and 310,562.45 is: 428,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,194.86 : 779,968.73 = 310,562.45 : x
  2. Step 2: Convert to fraction form
    565,194.86/779,968.73 = 310,562.45/x
  3. Step 3: Cross multiply
    565,194.86x = 779,968.73 × 310,562.45
  4. Step 4: Simplify right side
    565,194.86x = 242,228,997,766.72
  5. Step 5: Solve for x
    x = 242,228,997,766.72/565,194.86
  6. Step 6: Final answer
    x = 428,576.08

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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.