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Finding the Fourth Proportional to 419,089.60, 628,634.40 and 166,430.36

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Solution

The fourth proportional to 419,089.60, 628,634.40 and 166,430.36 is: 249,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,089.60 : 628,634.40 = 166,430.36 : x
  2. Step 2: Convert to fraction form
    419,089.60/628,634.40 = 166,430.36/x
  3. Step 3: Cross multiply
    419,089.60x = 628,634.40 × 166,430.36
  4. Step 4: Simplify right side
    419,089.60x = 104,623,849,500.38
  5. Step 5: Solve for x
    x = 104,623,849,500.38/419,089.60
  6. Step 6: Final answer
    x = 249,645.54

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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.