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Finding the Fourth Proportional to 565,388.88, 780,203.70 and 310,740.28

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Solution

The fourth proportional to 565,388.88, 780,203.70 and 310,740.28 is: 428,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,388.88 : 780,203.70 = 310,740.28 : x
  2. Step 2: Convert to fraction form
    565,388.88/780,203.70 = 310,740.28/x
  3. Step 3: Cross multiply
    565,388.88x = 780,203.70 × 310,740.28
  4. Step 4: Simplify right side
    565,388.88x = 242,440,716,195.04
  5. Step 5: Solve for x
    x = 242,440,716,195.04/565,388.88
  6. Step 6: Final answer
    x = 428,803.47

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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.