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Finding the Fourth Proportional to 357,128.30, 535,692.46 and 278,301.54

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Solution

The fourth proportional to 357,128.30, 535,692.46 and 278,301.54 is: 417,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,128.30 : 535,692.46 = 278,301.54 : x
  2. Step 2: Convert to fraction form
    357,128.30/535,692.46 = 278,301.54/x
  3. Step 3: Cross multiply
    357,128.30x = 535,692.46 × 278,301.54
  4. Step 4: Simplify right side
    357,128.30x = 149,084,036,584.39
  5. Step 5: Solve for x
    x = 149,084,036,584.39/357,128.30
  6. Step 6: Final answer
    x = 417,452.32

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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.