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Finding the Fourth Proportional to 385,081.40, 577,233.30 and 174,870.20

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Solution

The fourth proportional to 385,081.40, 577,233.30 and 174,870.20 is: 262,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,081.40 : 577,233.30 = 174,870.20 : x
  2. Step 2: Convert to fraction form
    385,081.40/577,233.30 = 174,870.20/x
  3. Step 3: Cross multiply
    385,081.40x = 577,233.30 × 174,870.20
  4. Step 4: Simplify right side
    385,081.40x = 100,940,902,617.66
  5. Step 5: Solve for x
    x = 100,940,902,617.66/385,081.40
  6. Step 6: Final answer
    x = 262,128.74

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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.