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Finding the Fourth Proportional to 909,100, 1,254,596.88 and 506,692

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Solution

The fourth proportional to 909,100, 1,254,596.88 and 506,692 is: 699,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,100 : 1,254,596.88 = 506,692 : x
  2. Step 2: Convert to fraction form
    909,100/1,254,596.88 = 506,692/x
  3. Step 3: Cross multiply
    909,100x = 1,254,596.88 × 506,692
  4. Step 4: Simplify right side
    909,100x = 635,694,202,320.96
  5. Step 5: Solve for x
    x = 635,694,202,320.96/909,100
  6. Step 6: Final answer
    x = 699,256.63

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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.