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Finding the Fourth Proportional to 507,981.65, 701,022.74 and 278,559.81

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Solution

The fourth proportional to 507,981.65, 701,022.74 and 278,559.81 is: 384,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,981.65 : 701,022.74 = 278,559.81 : x
  2. Step 2: Convert to fraction form
    507,981.65/701,022.74 = 278,559.81/x
  3. Step 3: Cross multiply
    507,981.65x = 701,022.74 × 278,559.81
  4. Step 4: Simplify right side
    507,981.65x = 195,276,759,867.28
  5. Step 5: Solve for x
    x = 195,276,759,867.28/507,981.65
  6. Step 6: Final answer
    x = 384,416.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.