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Finding the Fourth Proportional to 520,205.78, 780,308.67 and 146,228.78

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Solution

The fourth proportional to 520,205.78, 780,308.67 and 146,228.78 is: 219,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,205.78 : 780,308.67 = 146,228.78 : x
  2. Step 2: Convert to fraction form
    520,205.78/780,308.67 = 146,228.78/x
  3. Step 3: Cross multiply
    520,205.78x = 780,308.67 × 146,228.78
  4. Step 4: Simplify right side
    520,205.78x = 114,103,584,837.52
  5. Step 5: Solve for x
    x = 114,103,584,837.52/520,205.78
  6. Step 6: Final answer
    x = 219,343.17

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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.