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Finding the Fourth Proportional to 565,429.78, 780,283.09 and 310,780.90

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Solution

The fourth proportional to 565,429.78, 780,283.09 and 310,780.90 is: 428,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,429.78 : 780,283.09 = 310,780.90 : x
  2. Step 2: Convert to fraction form
    565,429.78/780,283.09 = 310,780.90/x
  3. Step 3: Cross multiply
    565,429.78x = 780,283.09 × 310,780.90
  4. Step 4: Simplify right side
    565,429.78x = 242,497,080,964.98
  5. Step 5: Solve for x
    x = 242,497,080,964.98/565,429.78
  6. Step 6: Final answer
    x = 428,872.14

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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.