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Finding the Fourth Proportional to 577,429.34, 865,394.94 and 257,125.44

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Solution

The fourth proportional to 577,429.34, 865,394.94 and 257,125.44 is: 385,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,429.34 : 865,394.94 = 257,125.44 : x
  2. Step 2: Convert to fraction form
    577,429.34/865,394.94 = 257,125.44/x
  3. Step 3: Cross multiply
    577,429.34x = 865,394.94 × 257,125.44
  4. Step 4: Simplify right side
    577,429.34x = 222,515,054,721.27
  5. Step 5: Solve for x
    x = 222,515,054,721.27/577,429.34
  6. Step 6: Final answer
    x = 385,354.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.