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Finding the Fourth Proportional to 502,782.40, 754,173.60 and 147,832.30

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Solution

The fourth proportional to 502,782.40, 754,173.60 and 147,832.30 is: 221,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,782.40 : 754,173.60 = 147,832.30 : x
  2. Step 2: Convert to fraction form
    502,782.40/754,173.60 = 147,832.30/x
  3. Step 3: Cross multiply
    502,782.40x = 754,173.60 × 147,832.30
  4. Step 4: Simplify right side
    502,782.40x = 111,491,217,887.28
  5. Step 5: Solve for x
    x = 111,491,217,887.28/502,782.40
  6. Step 6: Final answer
    x = 221,748.45

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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.