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Finding the Fourth Proportional to 774,207, 1,068,405.66 and 434,675.25

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Solution

The fourth proportional to 774,207, 1,068,405.66 and 434,675.25 is: 599,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,207 : 1,068,405.66 = 434,675.25 : x
  2. Step 2: Convert to fraction form
    774,207/1,068,405.66 = 434,675.25/x
  3. Step 3: Cross multiply
    774,207x = 1,068,405.66 × 434,675.25
  4. Step 4: Simplify right side
    774,207x = 464,409,497,361.92
  5. Step 5: Solve for x
    x = 464,409,497,361.92/774,207
  6. Step 6: Final answer
    x = 599,851.85

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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.