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Finding the Fourth Proportional to 306,419.65, 459,631.51 and 106,743.81

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Solution

The fourth proportional to 306,419.65, 459,631.51 and 106,743.81 is: 160,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,419.65 : 459,631.51 = 106,743.81 : x
  2. Step 2: Convert to fraction form
    306,419.65/459,631.51 = 106,743.81/x
  3. Step 3: Cross multiply
    306,419.65x = 459,631.51 × 106,743.81
  4. Step 4: Simplify right side
    306,419.65x = 49,062,818,573.45
  5. Step 5: Solve for x
    x = 49,062,818,573.45/306,419.65
  6. Step 6: Final answer
    x = 160,116.42

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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.