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Finding the Fourth Proportional to 565,597.50, 780,542.79 and 310,967.10

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Solution

The fourth proportional to 565,597.50, 780,542.79 and 310,967.10 is: 429,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,597.50 : 780,542.79 = 310,967.10 : x
  2. Step 2: Convert to fraction form
    565,597.50/780,542.79 = 310,967.10/x
  3. Step 3: Cross multiply
    565,597.50x = 780,542.79 × 310,967.10
  4. Step 4: Simplify right side
    565,597.50x = 242,723,127,832.21
  5. Step 5: Solve for x
    x = 242,723,127,832.21/565,597.50
  6. Step 6: Final answer
    x = 429,144.63

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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.