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Finding the Fourth Proportional to 401,779.78, 602,650.14 and 149,109.48

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Solution

The fourth proportional to 401,779.78, 602,650.14 and 149,109.48 is: 223,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,779.78 : 602,650.14 = 149,109.48 : x
  2. Step 2: Convert to fraction form
    401,779.78/602,650.14 = 149,109.48/x
  3. Step 3: Cross multiply
    401,779.78x = 602,650.14 × 149,109.48
  4. Step 4: Simplify right side
    401,779.78x = 89,860,848,438.17
  5. Step 5: Solve for x
    x = 89,860,848,438.17/401,779.78
  6. Step 6: Final answer
    x = 223,656.97

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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.