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Finding the Fourth Proportional to 390,431.75, 584,591.10 and 255,158.81

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Solution

The fourth proportional to 390,431.75, 584,591.10 and 255,158.81 is: 382,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,431.75 : 584,591.10 = 255,158.81 : x
  2. Step 2: Convert to fraction form
    390,431.75/584,591.10 = 255,158.81/x
  3. Step 3: Cross multiply
    390,431.75x = 584,591.10 × 255,158.81
  4. Step 4: Simplify right side
    390,431.75x = 149,163,568,442.64
  5. Step 5: Solve for x
    x = 149,163,568,442.64/390,431.75
  6. Step 6: Final answer
    x = 382,047.75

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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.