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Finding the Fourth Proportional to 428,488.75, 643,055.78 and 293,229.01

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Solution

The fourth proportional to 428,488.75, 643,055.78 and 293,229.01 is: 440,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,488.75 : 643,055.78 = 293,229.01 : x
  2. Step 2: Convert to fraction form
    428,488.75/643,055.78 = 293,229.01/x
  3. Step 3: Cross multiply
    428,488.75x = 643,055.78 × 293,229.01
  4. Step 4: Simplify right side
    428,488.75x = 188,562,609,631.66
  5. Step 5: Solve for x
    x = 188,562,609,631.66/428,488.75
  6. Step 6: Final answer
    x = 440,064.32

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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.