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Finding the Fourth Proportional to 384,094.40, 576,314.40 and 134,955.20

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Solution

The fourth proportional to 384,094.40, 576,314.40 and 134,955.20 is: 202,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094.40 : 576,314.40 = 134,955.20 : x
  2. Step 2: Convert to fraction form
    384,094.40/576,314.40 = 134,955.20/x
  3. Step 3: Cross multiply
    384,094.40x = 576,314.40 × 134,955.20
  4. Step 4: Simplify right side
    384,094.40x = 77,776,625,114.88
  5. Step 5: Solve for x
    x = 77,776,625,114.88/384,094.40
  6. Step 6: Final answer
    x = 202,493.51

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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.