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Finding the Fourth Proportional to 355,486.51, 533,118.93 and 118,774

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Solution

The fourth proportional to 355,486.51, 533,118.93 and 118,774 is: 178,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,486.51 : 533,118.93 = 118,774 : x
  2. Step 2: Convert to fraction form
    355,486.51/533,118.93 = 118,774/x
  3. Step 3: Cross multiply
    355,486.51x = 533,118.93 × 118,774
  4. Step 4: Simplify right side
    355,486.51x = 63,320,667,791.82
  5. Step 5: Solve for x
    x = 63,320,667,791.82/355,486.51
  6. Step 6: Final answer
    x = 178,123.97

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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.