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Finding the Fourth Proportional to 468,653.10, 702,979.65 and 309,220.80

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Solution

The fourth proportional to 468,653.10, 702,979.65 and 309,220.80 is: 463,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,653.10 : 702,979.65 = 309,220.80 : x
  2. Step 2: Convert to fraction form
    468,653.10/702,979.65 = 309,220.80/x
  3. Step 3: Cross multiply
    468,653.10x = 702,979.65 × 309,220.80
  4. Step 4: Simplify right side
    468,653.10x = 217,375,929,756.72
  5. Step 5: Solve for x
    x = 217,375,929,756.72/468,653.10
  6. Step 6: Final answer
    x = 463,831.20

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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.