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Finding the Fourth Proportional to 503,899.79, 754,074.39 and 314,449.30

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Solution

The fourth proportional to 503,899.79, 754,074.39 and 314,449.30 is: 470,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,899.79 : 754,074.39 = 314,449.30 : x
  2. Step 2: Convert to fraction form
    503,899.79/754,074.39 = 314,449.30/x
  3. Step 3: Cross multiply
    503,899.79x = 754,074.39 × 314,449.30
  4. Step 4: Simplify right side
    503,899.79x = 237,118,161,963.54
  5. Step 5: Solve for x
    x = 237,118,161,963.54/503,899.79
  6. Step 6: Final answer
    x = 470,566.11

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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.