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Finding the Fourth Proportional to 465,134, 697,438.56 and 161,385.68

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Solution

The fourth proportional to 465,134, 697,438.56 and 161,385.68 is: 241,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,134 : 697,438.56 = 161,385.68 : x
  2. Step 2: Convert to fraction form
    465,134/697,438.56 = 161,385.68/x
  3. Step 3: Cross multiply
    465,134x = 697,438.56 × 161,385.68
  4. Step 4: Simplify right side
    465,134x = 112,556,596,263.82
  5. Step 5: Solve for x
    x = 112,556,596,263.82/465,134
  6. Step 6: Final answer
    x = 241,987.46

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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.