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Finding the Fourth Proportional to 569,451.75, 785,775.20 and 314,768.31

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Solution

The fourth proportional to 569,451.75, 785,775.20 and 314,768.31 is: 434,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,451.75 : 785,775.20 = 314,768.31 : x
  2. Step 2: Convert to fraction form
    569,451.75/785,775.20 = 314,768.31/x
  3. Step 3: Cross multiply
    569,451.75x = 785,775.20 × 314,768.31
  4. Step 4: Simplify right side
    569,451.75x = 247,337,130,170.07
  5. Step 5: Solve for x
    x = 247,337,130,170.07/569,451.75
  6. Step 6: Final answer
    x = 434,342.56

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1.5x scale

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.