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Finding the Fourth Proportional to 565,576.52, 780,495.60 and 310,927.73

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Solution

The fourth proportional to 565,576.52, 780,495.60 and 310,927.73 is: 429,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,576.52 : 780,495.60 = 310,927.73 : x
  2. Step 2: Convert to fraction form
    565,576.52/780,495.60 = 310,927.73/x
  3. Step 3: Cross multiply
    565,576.52x = 780,495.60 × 310,927.73
  4. Step 4: Simplify right side
    565,576.52x = 242,677,725,182.99
  5. Step 5: Solve for x
    x = 242,677,725,182.99/565,576.52
  6. Step 6: Final answer
    x = 429,080.27

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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.