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Finding the Fourth Proportional to 262,152.32, 392,830.08 and 192,078.08

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Solution

The fourth proportional to 262,152.32, 392,830.08 and 192,078.08 is: 287,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152.32 : 392,830.08 = 192,078.08 : x
  2. Step 2: Convert to fraction form
    262,152.32/392,830.08 = 192,078.08/x
  3. Step 3: Cross multiply
    262,152.32x = 392,830.08 × 192,078.08
  4. Step 4: Simplify right side
    262,152.32x = 75,454,047,532.65
  5. Step 5: Solve for x
    x = 75,454,047,532.65/262,152.32
  6. Step 6: Final answer
    x = 287,825.21

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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.