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Finding the Fourth Proportional to 565,519.78, 780,464.73 and 310,918.96

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Solution

The fourth proportional to 565,519.78, 780,464.73 and 310,918.96 is: 429,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,519.78 : 780,464.73 = 310,918.96 : x
  2. Step 2: Convert to fraction form
    565,519.78/780,464.73 = 310,918.96/x
  3. Step 3: Cross multiply
    565,519.78x = 780,464.73 × 310,918.96
  4. Step 4: Simplify right side
    565,519.78x = 242,661,282,168.28
  5. Step 5: Solve for x
    x = 242,661,282,168.28/565,519.78
  6. Step 6: Final answer
    x = 429,094.24

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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.