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Finding the Fourth Proportional to 520,203.78, 780,305.66 and 146,226.78

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Solution

The fourth proportional to 520,203.78, 780,305.66 and 146,226.78 is: 219,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,203.78 : 780,305.66 = 146,226.78 : x
  2. Step 2: Convert to fraction form
    520,203.78/780,305.66 = 146,226.78/x
  3. Step 3: Cross multiply
    520,203.78x = 780,305.66 × 146,226.78
  4. Step 4: Simplify right side
    520,203.78x = 114,101,584,077.58
  5. Step 5: Solve for x
    x = 114,101,584,077.58/520,203.78
  6. Step 6: Final answer
    x = 219,340.17

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1.5x scale

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.