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Finding the Fourth Proportional to 390,791.80, 586,187.70 and 166,077.55

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Solution

The fourth proportional to 390,791.80, 586,187.70 and 166,077.55 is: 249,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,791.80 : 586,187.70 = 166,077.55 : x
  2. Step 2: Convert to fraction form
    390,791.80/586,187.70 = 166,077.55/x
  3. Step 3: Cross multiply
    390,791.80x = 586,187.70 × 166,077.55
  4. Step 4: Simplify right side
    390,791.80x = 97,352,617,056.14
  5. Step 5: Solve for x
    x = 97,352,617,056.14/390,791.80
  6. Step 6: Final answer
    x = 249,116.33

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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.