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Finding the Fourth Proportional to 385,415.40, 578,135.74 and 132,693.22

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Solution

The fourth proportional to 385,415.40, 578,135.74 and 132,693.22 is: 199,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,415.40 : 578,135.74 = 132,693.22 : x
  2. Step 2: Convert to fraction form
    385,415.40/578,135.74 = 132,693.22/x
  3. Step 3: Cross multiply
    385,415.40x = 578,135.74 × 132,693.22
  4. Step 4: Simplify right side
    385,415.40x = 76,714,692,937.68
  5. Step 5: Solve for x
    x = 76,714,692,937.68/385,415.40
  6. Step 6: Final answer
    x = 199,044.18

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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.