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Finding the Fourth Proportional to 539,478, 744,479.64 and 301,014

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Solution

The fourth proportional to 539,478, 744,479.64 and 301,014 is: 415,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,478 : 744,479.64 = 301,014 : x
  2. Step 2: Convert to fraction form
    539,478/744,479.64 = 301,014/x
  3. Step 3: Cross multiply
    539,478x = 744,479.64 × 301,014
  4. Step 4: Simplify right side
    539,478x = 224,098,794,354.96
  5. Step 5: Solve for x
    x = 224,098,794,354.96/539,478
  6. Step 6: Final answer
    x = 415,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.