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Finding the Fourth Proportional to 520,202.95, 780,304.43 and 146,225.95

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Solution

The fourth proportional to 520,202.95, 780,304.43 and 146,225.95 is: 219,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,202.95 : 780,304.43 = 146,225.95 : x
  2. Step 2: Convert to fraction form
    520,202.95/780,304.43 = 146,225.95/x
  3. Step 3: Cross multiply
    520,202.95x = 780,304.43 × 146,225.95
  4. Step 4: Simplify right side
    520,202.95x = 114,100,756,565.96
  5. Step 5: Solve for x
    x = 114,100,756,565.96/520,202.95
  6. Step 6: Final answer
    x = 219,338.93

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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.