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Finding the Fourth Proportional to 390,771.72, 586,313.10 and 166,181.40

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Solution

The fourth proportional to 390,771.72, 586,313.10 and 166,181.40 is: 249,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,771.72 : 586,313.10 = 166,181.40 : x
  2. Step 2: Convert to fraction form
    390,771.72/586,313.10 = 166,181.40/x
  3. Step 3: Cross multiply
    390,771.72x = 586,313.10 × 166,181.40
  4. Step 4: Simplify right side
    390,771.72x = 97,434,331,796.34
  5. Step 5: Solve for x
    x = 97,434,331,796.34/390,771.72
  6. Step 6: Final answer
    x = 249,338.24

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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.