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Finding the Fourth Proportional to 509,967.20, 764,950.80 and 421,320.80

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Solution

The fourth proportional to 509,967.20, 764,950.80 and 421,320.80 is: 631,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,967.20 : 764,950.80 = 421,320.80 : x
  2. Step 2: Convert to fraction form
    509,967.20/764,950.80 = 421,320.80/x
  3. Step 3: Cross multiply
    509,967.20x = 764,950.80 × 421,320.80
  4. Step 4: Simplify right side
    509,967.20x = 322,289,683,016.64
  5. Step 5: Solve for x
    x = 322,289,683,016.64/509,967.20
  6. Step 6: Final answer
    x = 631,981.20

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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.