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Finding the Fourth Proportional to 565,604.87, 780,548.60 and 310,956.53

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Solution

The fourth proportional to 565,604.87, 780,548.60 and 310,956.53 is: 429,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,604.87 : 780,548.60 = 310,956.53 : x
  2. Step 2: Convert to fraction form
    565,604.87/780,548.60 = 310,956.53/x
  3. Step 3: Cross multiply
    565,604.87x = 780,548.60 × 310,956.53
  4. Step 4: Simplify right side
    565,604.87x = 242,716,681,027.01
  5. Step 5: Solve for x
    x = 242,716,681,027.01/565,604.87
  6. Step 6: Final answer
    x = 429,127.64

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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.