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Finding the Fourth Proportional to 520,202.41, 780,303.62 and 146,225.41

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Solution

The fourth proportional to 520,202.41, 780,303.62 and 146,225.41 is: 219,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,202.41 : 780,303.62 = 146,225.41 : x
  2. Step 2: Convert to fraction form
    520,202.41/780,303.62 = 146,225.41/x
  3. Step 3: Cross multiply
    520,202.41x = 780,303.62 × 146,225.41
  4. Step 4: Simplify right side
    520,202.41x = 114,100,216,758.98
  5. Step 5: Solve for x
    x = 114,100,216,758.98/520,202.41
  6. Step 6: Final answer
    x = 219,338.12

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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.