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Finding the Fourth Proportional to 385,236.40, 577,465.80 and 175,025.20

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Solution

The fourth proportional to 385,236.40, 577,465.80 and 175,025.20 is: 262,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,236.40 : 577,465.80 = 175,025.20 : x
  2. Step 2: Convert to fraction form
    385,236.40/577,465.80 = 175,025.20/x
  3. Step 3: Cross multiply
    385,236.40x = 577,465.80 × 175,025.20
  4. Step 4: Simplify right side
    385,236.40x = 101,071,067,138.16
  5. Step 5: Solve for x
    x = 101,071,067,138.16/385,236.40
  6. Step 6: Final answer
    x = 262,361.16

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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.