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Finding the Fourth Proportional to 520,176, 780,264.32 and 126,192

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Solution

The fourth proportional to 520,176, 780,264.32 and 126,192 is: 189,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,176 : 780,264.32 = 126,192 : x
  2. Step 2: Convert to fraction form
    520,176/780,264.32 = 126,192/x
  3. Step 3: Cross multiply
    520,176x = 780,264.32 × 126,192
  4. Step 4: Simplify right side
    520,176x = 98,463,115,069.44
  5. Step 5: Solve for x
    x = 98,463,115,069.44/520,176
  6. Step 6: Final answer
    x = 189,288.08

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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.