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Finding the Fourth Proportional to 565,484.52, 780,369.48 and 310,837.26

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Solution

The fourth proportional to 565,484.52, 780,369.48 and 310,837.26 is: 428,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,484.52 : 780,369.48 = 310,837.26 : x
  2. Step 2: Convert to fraction form
    565,484.52/780,369.48 = 310,837.26/x
  3. Step 3: Cross multiply
    565,484.52x = 780,369.48 × 310,837.26
  4. Step 4: Simplify right side
    565,484.52x = 242,567,910,950.83
  5. Step 5: Solve for x
    x = 242,567,910,950.83/565,484.52
  6. Step 6: Final answer
    x = 428,955.88

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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.