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Finding the Fourth Proportional to 503,047.54, 754,489.30 and 147,978.52

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Solution

The fourth proportional to 503,047.54, 754,489.30 and 147,978.52 is: 221,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,047.54 : 754,489.30 = 147,978.52 : x
  2. Step 2: Convert to fraction form
    503,047.54/754,489.30 = 147,978.52/x
  3. Step 3: Cross multiply
    503,047.54x = 754,489.30 × 147,978.52
  4. Step 4: Simplify right side
    503,047.54x = 111,648,209,969.84
  5. Step 5: Solve for x
    x = 111,648,209,969.84/503,047.54
  6. Step 6: Final answer
    x = 221,943.66

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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.