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Finding the Fourth Proportional to 565,738.40, 780,708.60 and 311,090.24

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Solution

The fourth proportional to 565,738.40, 780,708.60 and 311,090.24 is: 429,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,738.40 : 780,708.60 = 311,090.24 : x
  2. Step 2: Convert to fraction form
    565,738.40/780,708.60 = 311,090.24/x
  3. Step 3: Cross multiply
    565,738.40x = 780,708.60 × 311,090.24
  4. Step 4: Simplify right side
    565,738.40x = 242,870,825,744.06
  5. Step 5: Solve for x
    x = 242,870,825,744.06/565,738.40
  6. Step 6: Final answer
    x = 429,298.82

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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.