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Finding the Fourth Proportional to 565,697.32, 780,665.22 and 311,065

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Solution

The fourth proportional to 565,697.32, 780,665.22 and 311,065 is: 429,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,697.32 : 780,665.22 = 311,065 : x
  2. Step 2: Convert to fraction form
    565,697.32/780,665.22 = 311,065/x
  3. Step 3: Cross multiply
    565,697.32x = 780,665.22 × 311,065
  4. Step 4: Simplify right side
    565,697.32x = 242,837,626,659.30
  5. Step 5: Solve for x
    x = 242,837,626,659.30/565,697.32
  6. Step 6: Final answer
    x = 429,271.30

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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.