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Finding the Fourth Proportional to 510,694.57, 703,559.72 and 355,378.84

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Solution

The fourth proportional to 510,694.57, 703,559.72 and 355,378.84 is: 489,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,694.57 : 703,559.72 = 355,378.84 : x
  2. Step 2: Convert to fraction form
    510,694.57/703,559.72 = 355,378.84/x
  3. Step 3: Cross multiply
    510,694.57x = 703,559.72 × 355,378.84
  4. Step 4: Simplify right side
    510,694.57x = 250,030,240,251.40
  5. Step 5: Solve for x
    x = 250,030,240,251.40/510,694.57
  6. Step 6: Final answer
    x = 489,588.60

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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.