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Finding the Fourth Proportional to 565,630.32, 780,572.76 and 310,997.90

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Solution

The fourth proportional to 565,630.32, 780,572.76 and 310,997.90 is: 429,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,630.32 : 780,572.76 = 310,997.90 : x
  2. Step 2: Convert to fraction form
    565,630.32/780,572.76 = 310,997.90/x
  3. Step 3: Cross multiply
    565,630.32x = 780,572.76 × 310,997.90
  4. Step 4: Simplify right side
    565,630.32x = 242,756,489,157.20
  5. Step 5: Solve for x
    x = 242,756,489,157.20/565,630.32
  6. Step 6: Final answer
    x = 429,178.71

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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.