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Finding the Fourth Proportional to 296,657.76, 444,986.64 and 138,997.20

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Solution

The fourth proportional to 296,657.76, 444,986.64 and 138,997.20 is: 208,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,657.76 : 444,986.64 = 138,997.20 : x
  2. Step 2: Convert to fraction form
    296,657.76/444,986.64 = 138,997.20/x
  3. Step 3: Cross multiply
    296,657.76x = 444,986.64 × 138,997.20
  4. Step 4: Simplify right side
    296,657.76x = 61,851,896,997.41
  5. Step 5: Solve for x
    x = 61,851,896,997.41/296,657.76
  6. Step 6: Final answer
    x = 208,495.80

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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.