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Finding the Fourth Proportional to 520,141.50, 780,212.25 and 146,164.50

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Solution

The fourth proportional to 520,141.50, 780,212.25 and 146,164.50 is: 219,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,141.50 : 780,212.25 = 146,164.50 : x
  2. Step 2: Convert to fraction form
    520,141.50/780,212.25 = 146,164.50/x
  3. Step 3: Cross multiply
    520,141.50x = 780,212.25 × 146,164.50
  4. Step 4: Simplify right side
    520,141.50x = 114,039,333,415.13
  5. Step 5: Solve for x
    x = 114,039,333,415.13/520,141.50
  6. Step 6: Final answer
    x = 219,246.75

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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.