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Finding the Fourth Proportional to 565,307.24, 780,087.30 and 323,591.72

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Solution

The fourth proportional to 565,307.24, 780,087.30 and 323,591.72 is: 446,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,307.24 : 780,087.30 = 323,591.72 : x
  2. Step 2: Convert to fraction form
    565,307.24/780,087.30 = 323,591.72/x
  3. Step 3: Cross multiply
    565,307.24x = 780,087.30 × 323,591.72
  4. Step 4: Simplify right side
    565,307.24x = 252,429,791,157.16
  5. Step 5: Solve for x
    x = 252,429,791,157.16/565,307.24
  6. Step 6: Final answer
    x = 446,535.57

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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.