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Finding the Fourth Proportional to 507,259.75, 700,040.46 and 280,905.25

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Solution

The fourth proportional to 507,259.75, 700,040.46 and 280,905.25 is: 387,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,259.75 : 700,040.46 = 280,905.25 : x
  2. Step 2: Convert to fraction form
    507,259.75/700,040.46 = 280,905.25/x
  3. Step 3: Cross multiply
    507,259.75x = 700,040.46 × 280,905.25
  4. Step 4: Simplify right side
    507,259.75x = 196,645,040,426.42
  5. Step 5: Solve for x
    x = 196,645,040,426.42/507,259.75
  6. Step 6: Final answer
    x = 387,661.43

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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.