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Finding the Fourth Proportional to 565,062.57, 779,786.87 and 310,430.25

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Solution

The fourth proportional to 565,062.57, 779,786.87 and 310,430.25 is: 428,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,062.57 : 779,786.87 = 310,430.25 : x
  2. Step 2: Convert to fraction form
    565,062.57/779,786.87 = 310,430.25/x
  3. Step 3: Cross multiply
    565,062.57x = 779,786.87 × 310,430.25
  4. Step 4: Simplify right side
    565,062.57x = 242,069,431,448.67
  5. Step 5: Solve for x
    x = 242,069,431,448.67/565,062.57
  6. Step 6: Final answer
    x = 428,394.03

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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.