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Finding the Fourth Proportional to 563,862.64, 778,148.46 and 309,213.22

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Solution

The fourth proportional to 563,862.64, 778,148.46 and 309,213.22 is: 426,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,862.64 : 778,148.46 = 309,213.22 : x
  2. Step 2: Convert to fraction form
    563,862.64/778,148.46 = 309,213.22/x
  3. Step 3: Cross multiply
    563,862.64x = 778,148.46 × 309,213.22
  4. Step 4: Simplify right side
    563,862.64x = 240,613,790,954.64
  5. Step 5: Solve for x
    x = 240,613,790,954.64/563,862.64
  6. Step 6: Final answer
    x = 426,724.12

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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.