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Finding the Fourth Proportional to 565,539.52, 780,463.20 and 310,901.44

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Solution

The fourth proportional to 565,539.52, 780,463.20 and 310,901.44 is: 429,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,539.52 : 780,463.20 = 310,901.44 : x
  2. Step 2: Convert to fraction form
    565,539.52/780,463.20 = 310,901.44/x
  3. Step 3: Cross multiply
    565,539.52x = 780,463.20 × 310,901.44
  4. Step 4: Simplify right side
    565,539.52x = 242,647,132,747.01
  5. Step 5: Solve for x
    x = 242,647,132,747.01/565,539.52
  6. Step 6: Final answer
    x = 429,054.25

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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.