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Finding the Fourth Proportional to 565,388.91, 780,239.22 and 310,756.50

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Solution

The fourth proportional to 565,388.91, 780,239.22 and 310,756.50 is: 428,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,388.91 : 780,239.22 = 310,756.50 : x
  2. Step 2: Convert to fraction form
    565,388.91/780,239.22 = 310,756.50/x
  3. Step 3: Cross multiply
    565,388.91x = 780,239.22 × 310,756.50
  4. Step 4: Simplify right side
    565,388.91x = 242,464,403,714.95
  5. Step 5: Solve for x
    x = 242,464,403,714.95/565,388.91
  6. Step 6: Final answer
    x = 428,845.35

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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.