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Finding the Fourth Proportional to 565,259.88, 780,049.58 and 310,605.60

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Solution

The fourth proportional to 565,259.88, 780,049.58 and 310,605.60 is: 428,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,259.88 : 780,049.58 = 310,605.60 : x
  2. Step 2: Convert to fraction form
    565,259.88/780,049.58 = 310,605.60/x
  3. Step 3: Cross multiply
    565,259.88x = 780,049.58 × 310,605.60
  4. Step 4: Simplify right side
    565,259.88x = 242,287,767,825.65
  5. Step 5: Solve for x
    x = 242,287,767,825.65/565,259.88
  6. Step 6: Final answer
    x = 428,630.75

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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.