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Finding the Fourth Proportional to 692,764.66, 956,033.97 and 420,770.18

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Solution

The fourth proportional to 692,764.66, 956,033.97 and 420,770.18 is: 580,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,764.66 : 956,033.97 = 420,770.18 : x
  2. Step 2: Convert to fraction form
    692,764.66/956,033.97 = 420,770.18/x
  3. Step 3: Cross multiply
    692,764.66x = 956,033.97 × 420,770.18
  4. Step 4: Simplify right side
    692,764.66x = 402,270,585,643.02
  5. Step 5: Solve for x
    x = 402,270,585,643.02/692,764.66
  6. Step 6: Final answer
    x = 580,674.23

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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.