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Finding the Fourth Proportional to 565,820.52, 780,816.74 and 311,171.70

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Solution

The fourth proportional to 565,820.52, 780,816.74 and 311,171.70 is: 429,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,820.52 : 780,816.74 = 311,171.70 : x
  2. Step 2: Convert to fraction form
    565,820.52/780,816.74 = 311,171.70/x
  3. Step 3: Cross multiply
    565,820.52x = 780,816.74 × 311,171.70
  4. Step 4: Simplify right side
    565,820.52x = 242,968,072,374.26
  5. Step 5: Solve for x
    x = 242,968,072,374.26/565,820.52
  6. Step 6: Final answer
    x = 429,408.38

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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.