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Finding the Fourth Proportional to 390,757.56, 586,241.10 and 166,128.36

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Solution

The fourth proportional to 390,757.56, 586,241.10 and 166,128.36 is: 249,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,757.56 : 586,241.10 = 166,128.36 : x
  2. Step 2: Convert to fraction form
    390,757.56/586,241.10 = 166,128.36/x
  3. Step 3: Cross multiply
    390,757.56x = 586,241.10 × 166,128.36
  4. Step 4: Simplify right side
    390,757.56x = 97,391,272,507.60
  5. Step 5: Solve for x
    x = 97,391,272,507.60/390,757.56
  6. Step 6: Final answer
    x = 249,237.08

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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.