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Finding the Fourth Proportional to 507,298.60, 760,947.90 and 133,359.40

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Solution

The fourth proportional to 507,298.60, 760,947.90 and 133,359.40 is: 200,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298.60 : 760,947.90 = 133,359.40 : x
  2. Step 2: Convert to fraction form
    507,298.60/760,947.90 = 133,359.40/x
  3. Step 3: Cross multiply
    507,298.60x = 760,947.90 × 133,359.40
  4. Step 4: Simplify right side
    507,298.60x = 101,479,555,375.26
  5. Step 5: Solve for x
    x = 101,479,555,375.26/507,298.60
  6. Step 6: Final answer
    x = 200,039.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.