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Finding the Fourth Proportional to 357,128.55, 535,692.83 and 278,301.78

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Solution

The fourth proportional to 357,128.55, 535,692.83 and 278,301.78 is: 417,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,128.55 : 535,692.83 = 278,301.78 : x
  2. Step 2: Convert to fraction form
    357,128.55/535,692.83 = 278,301.78/x
  3. Step 3: Cross multiply
    357,128.55x = 535,692.83 × 278,301.78
  4. Step 4: Simplify right side
    357,128.55x = 149,084,266,730.73
  5. Step 5: Solve for x
    x = 149,084,266,730.73/357,128.55
  6. Step 6: Final answer
    x = 417,452.67

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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.