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Finding the Fourth Proportional to 565,746.39, 780,697.44 and 311,097.78

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Solution

The fourth proportional to 565,746.39, 780,697.44 and 311,097.78 is: 429,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,746.39 : 780,697.44 = 311,097.78 : x
  2. Step 2: Convert to fraction form
    565,746.39/780,697.44 = 311,097.78/x
  3. Step 3: Cross multiply
    565,746.39x = 780,697.44 × 311,097.78
  4. Step 4: Simplify right side
    565,746.39x = 242,873,240,435.68
  5. Step 5: Solve for x
    x = 242,873,240,435.68/565,746.39
  6. Step 6: Final answer
    x = 429,297.02

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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.