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Finding the Fourth Proportional to 909,269, 1,254,791.30 and 506,861

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Solution

The fourth proportional to 909,269, 1,254,791.30 and 506,861 is: 699,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,269 : 1,254,791.30 = 506,861 : x
  2. Step 2: Convert to fraction form
    909,269/1,254,791.30 = 506,861/x
  3. Step 3: Cross multiply
    909,269x = 1,254,791.30 × 506,861
  4. Step 4: Simplify right side
    909,269x = 636,004,773,109.30
  5. Step 5: Solve for x
    x = 636,004,773,109.30/909,269
  6. Step 6: Final answer
    x = 699,468.22

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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.