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Finding the Fourth Proportional to 565,387.89, 780,202.29 and 310,739.28

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Solution

The fourth proportional to 565,387.89, 780,202.29 and 310,739.28 is: 428,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,387.89 : 780,202.29 = 310,739.28 : x
  2. Step 2: Convert to fraction form
    565,387.89/780,202.29 = 310,739.28/x
  3. Step 3: Cross multiply
    565,387.89x = 780,202.29 × 310,739.28
  4. Step 4: Simplify right side
    565,387.89x = 242,439,497,848.95
  5. Step 5: Solve for x
    x = 242,439,497,848.95/565,387.89
  6. Step 6: Final answer
    x = 428,802.07

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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.