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Finding the Fourth Proportional to 581,109.82, 871,684.40 and 154,646.07

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Solution

The fourth proportional to 581,109.82, 871,684.40 and 154,646.07 is: 231,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,109.82 : 871,684.40 = 154,646.07 : x
  2. Step 2: Convert to fraction form
    581,109.82/871,684.40 = 154,646.07/x
  3. Step 3: Cross multiply
    581,109.82x = 871,684.40 × 154,646.07
  4. Step 4: Simplify right side
    581,109.82x = 134,802,566,740.31
  5. Step 5: Solve for x
    x = 134,802,566,740.31/581,109.82
  6. Step 6: Final answer
    x = 231,974.34

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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.