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Finding the Fourth Proportional to 507,813.20, 761,719.80 and 133,836.20

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Solution

The fourth proportional to 507,813.20, 761,719.80 and 133,836.20 is: 200,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,813.20 : 761,719.80 = 133,836.20 : x
  2. Step 2: Convert to fraction form
    507,813.20/761,719.80 = 133,836.20/x
  3. Step 3: Cross multiply
    507,813.20x = 761,719.80 × 133,836.20
  4. Step 4: Simplify right side
    507,813.20x = 101,945,683,496.76
  5. Step 5: Solve for x
    x = 101,945,683,496.76/507,813.20
  6. Step 6: Final answer
    x = 200,754.30

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1.5x scale

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.