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Finding the Fourth Proportional to 565,723.77, 780,712.20 and 311,074.76

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Solution

The fourth proportional to 565,723.77, 780,712.20 and 311,074.76 is: 429,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,723.77 : 780,712.20 = 311,074.76 : x
  2. Step 2: Convert to fraction form
    565,723.77/780,712.20 = 311,074.76/x
  3. Step 3: Cross multiply
    565,723.77x = 780,712.20 × 311,074.76
  4. Step 4: Simplify right side
    565,723.77x = 242,859,856,340.51
  5. Step 5: Solve for x
    x = 242,859,856,340.51/565,723.77
  6. Step 6: Final answer
    x = 429,290.53

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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.