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Finding the Fourth Proportional to 563,860, 778,055.28 and 309,144.16

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Solution

The fourth proportional to 563,860, 778,055.28 and 309,144.16 is: 426,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,860 : 778,055.28 = 309,144.16 : x
  2. Step 2: Convert to fraction form
    563,860/778,055.28 = 309,144.16/x
  3. Step 3: Cross multiply
    563,860x = 778,055.28 × 309,144.16
  4. Step 4: Simplify right side
    563,860x = 240,531,245,969.17
  5. Step 5: Solve for x
    x = 240,531,245,969.17/563,860
  6. Step 6: Final answer
    x = 426,579.73

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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.