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Finding the Fourth Proportional to 569,400, 785,766.24 and 314,738.88

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Solution

The fourth proportional to 569,400, 785,766.24 and 314,738.88 is: 434,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,400 : 785,766.24 = 314,738.88 : x
  2. Step 2: Convert to fraction form
    569,400/785,766.24 = 314,738.88/x
  3. Step 3: Cross multiply
    569,400x = 785,766.24 × 314,738.88
  4. Step 4: Simplify right side
    569,400x = 247,311,186,319.41
  5. Step 5: Solve for x
    x = 247,311,186,319.41/569,400
  6. Step 6: Final answer
    x = 434,336.47

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1.5x scale

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.