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Finding the Fourth Proportional to 565,518.78, 780,463.35 and 310,917.96

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Solution

The fourth proportional to 565,518.78, 780,463.35 and 310,917.96 is: 429,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,518.78 : 780,463.35 = 310,917.96 : x
  2. Step 2: Convert to fraction form
    565,518.78/780,463.35 = 310,917.96/x
  3. Step 3: Cross multiply
    565,518.78x = 780,463.35 × 310,917.96
  4. Step 4: Simplify right side
    565,518.78x = 242,660,072,636.77
  5. Step 5: Solve for x
    x = 242,660,072,636.77/565,518.78
  6. Step 6: Final answer
    x = 429,092.86

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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.