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Finding the Fourth Proportional to 306,626.10, 459,939.15 and 138,336.45

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Solution

The fourth proportional to 306,626.10, 459,939.15 and 138,336.45 is: 207,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,626.10 : 459,939.15 = 138,336.45 : x
  2. Step 2: Convert to fraction form
    306,626.10/459,939.15 = 138,336.45/x
  3. Step 3: Cross multiply
    306,626.10x = 459,939.15 × 138,336.45
  4. Step 4: Simplify right side
    306,626.10x = 63,626,349,227.02
  5. Step 5: Solve for x
    x = 63,626,349,227.02/306,626.10
  6. Step 6: Final answer
    x = 207,504.68

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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.