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Finding the Fourth Proportional to 565,892.69, 780,928.16 and 320,923.78

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Solution

The fourth proportional to 565,892.69, 780,928.16 and 320,923.78 is: 442,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,892.69 : 780,928.16 = 320,923.78 : x
  2. Step 2: Convert to fraction form
    565,892.69/780,928.16 = 320,923.78/x
  3. Step 3: Cross multiply
    565,892.69x = 780,928.16 × 320,923.78
  4. Step 4: Simplify right side
    565,892.69x = 250,618,417,817.95
  5. Step 5: Solve for x
    x = 250,618,417,817.95/565,892.69
  6. Step 6: Final answer
    x = 442,872.69

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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.