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Finding the Fourth Proportional to 563,824.64, 778,040 and 309,170.40

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Solution

The fourth proportional to 563,824.64, 778,040 and 309,170.40 is: 426,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,824.64 : 778,040 = 309,170.40 : x
  2. Step 2: Convert to fraction form
    563,824.64/778,040 = 309,170.40/x
  3. Step 3: Cross multiply
    563,824.64x = 778,040 × 309,170.40
  4. Step 4: Simplify right side
    563,824.64x = 240,546,938,016.00
  5. Step 5: Solve for x
    x = 240,546,938,016.00/563,824.64
  6. Step 6: Final answer
    x = 426,634.31

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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.