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Finding the Fourth Proportional to 507,643.20, 700,498.80 and 303,652.80

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Solution

The fourth proportional to 507,643.20, 700,498.80 and 303,652.80 is: 419,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,643.20 : 700,498.80 = 303,652.80 : x
  2. Step 2: Convert to fraction form
    507,643.20/700,498.80 = 303,652.80/x
  3. Step 3: Cross multiply
    507,643.20x = 700,498.80 × 303,652.80
  4. Step 4: Simplify right side
    507,643.20x = 212,708,422,016.64
  5. Step 5: Solve for x
    x = 212,708,422,016.64/507,643.20
  6. Step 6: Final answer
    x = 419,011.66

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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.