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Finding the Fourth Proportional to 565,467.19, 780,347.31 and 310,834.78

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Solution

The fourth proportional to 565,467.19, 780,347.31 and 310,834.78 is: 428,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,467.19 : 780,347.31 = 310,834.78 : x
  2. Step 2: Convert to fraction form
    565,467.19/780,347.31 = 310,834.78/x
  3. Step 3: Cross multiply
    565,467.19x = 780,347.31 × 310,834.78
  4. Step 4: Simplify right side
    565,467.19x = 242,559,084,427.44
  5. Step 5: Solve for x
    x = 242,559,084,427.44/565,467.19
  6. Step 6: Final answer
    x = 428,953.42

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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.