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Finding the Fourth Proportional to 565,596, 780,540.72 and 310,965.60

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Solution

The fourth proportional to 565,596, 780,540.72 and 310,965.60 is: 429,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,596 : 780,540.72 = 310,965.60 : x
  2. Step 2: Convert to fraction form
    565,596/780,540.72 = 310,965.60/x
  3. Step 3: Cross multiply
    565,596x = 780,540.72 × 310,965.60
  4. Step 4: Simplify right side
    565,596x = 242,721,313,319.23
  5. Step 5: Solve for x
    x = 242,721,313,319.23/565,596
  6. Step 6: Final answer
    x = 429,142.56

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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.