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Finding the Fourth Proportional to 565,464.86, 780,342.09 and 310,810.58

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Solution

The fourth proportional to 565,464.86, 780,342.09 and 310,810.58 is: 428,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,464.86 : 780,342.09 = 310,810.58 : x
  2. Step 2: Convert to fraction form
    565,464.86/780,342.09 = 310,810.58/x
  3. Step 3: Cross multiply
    565,464.86x = 780,342.09 × 310,810.58
  4. Step 4: Simplify right side
    565,464.86x = 242,538,577,591.31
  5. Step 5: Solve for x
    x = 242,538,577,591.31/565,464.86
  6. Step 6: Final answer
    x = 428,918.92

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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.