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Finding the Fourth Proportional to 462,555.72, 638,433.36 and 301,129.47

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Solution

The fourth proportional to 462,555.72, 638,433.36 and 301,129.47 is: 415,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,555.72 : 638,433.36 = 301,129.47 : x
  2. Step 2: Convert to fraction form
    462,555.72/638,433.36 = 301,129.47/x
  3. Step 3: Cross multiply
    462,555.72x = 638,433.36 × 301,129.47
  4. Step 4: Simplify right side
    462,555.72x = 192,251,099,327.12
  5. Step 5: Solve for x
    x = 192,251,099,327.12/462,555.72
  6. Step 6: Final answer
    x = 415,627.98

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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.