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Finding the Fourth Proportional to 577,430.34, 865,396.44 and 257,126.44

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Solution

The fourth proportional to 577,430.34, 865,396.44 and 257,126.44 is: 385,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,430.34 : 865,396.44 = 257,126.44 : x
  2. Step 2: Convert to fraction form
    577,430.34/865,396.44 = 257,126.44/x
  3. Step 3: Cross multiply
    577,430.34x = 865,396.44 × 257,126.44
  4. Step 4: Simplify right side
    577,430.34x = 222,516,305,805.87
  5. Step 5: Solve for x
    x = 222,516,305,805.87/577,430.34
  6. Step 6: Final answer
    x = 385,356.10

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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.