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Finding the Fourth Proportional to 565,637.31, 780,582.42 and 311,004.90

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Solution

The fourth proportional to 565,637.31, 780,582.42 and 311,004.90 is: 429,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,637.31 : 780,582.42 = 311,004.90 : x
  2. Step 2: Convert to fraction form
    565,637.31/780,582.42 = 311,004.90/x
  3. Step 3: Cross multiply
    565,637.31x = 780,582.42 × 311,004.90
  4. Step 4: Simplify right side
    565,637.31x = 242,764,957,473.86
  5. Step 5: Solve for x
    x = 242,764,957,473.86/565,637.31
  6. Step 6: Final answer
    x = 429,188.37

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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.