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Finding the Fourth Proportional to 565,448.08, 780,320.04 and 310,825.36

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Solution

The fourth proportional to 565,448.08, 780,320.04 and 310,825.36 is: 428,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,448.08 : 780,320.04 = 310,825.36 : x
  2. Step 2: Convert to fraction form
    565,448.08/780,320.04 = 310,825.36/x
  3. Step 3: Cross multiply
    565,448.08x = 780,320.04 × 310,825.36
  4. Step 4: Simplify right side
    565,448.08x = 242,543,257,348.21
  5. Step 5: Solve for x
    x = 242,543,257,348.21/565,448.08
  6. Step 6: Final answer
    x = 428,939.93

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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.