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Finding the Fourth Proportional to 565,507.41, 780,380.46 and 310,856.76

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Solution

The fourth proportional to 565,507.41, 780,380.46 and 310,856.76 is: 428,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,507.41 : 780,380.46 = 310,856.76 : x
  2. Step 2: Convert to fraction form
    565,507.41/780,380.46 = 310,856.76/x
  3. Step 3: Cross multiply
    565,507.41x = 780,380.46 × 310,856.76
  4. Step 4: Simplify right side
    565,507.41x = 242,586,541,362.91
  5. Step 5: Solve for x
    x = 242,586,541,362.91/565,507.41
  6. Step 6: Final answer
    x = 428,971.46

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Double scale
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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.