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Finding the Fourth Proportional to 421,452.68, 581,442.16 and 260,027.76

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Solution

The fourth proportional to 421,452.68, 581,442.16 and 260,027.76 is: 358,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,452.68 : 581,442.16 = 260,027.76 : x
  2. Step 2: Convert to fraction form
    421,452.68/581,442.16 = 260,027.76/x
  3. Step 3: Cross multiply
    421,452.68x = 581,442.16 × 260,027.76
  4. Step 4: Simplify right side
    421,452.68x = 151,191,102,434.36
  5. Step 5: Solve for x
    x = 151,191,102,434.36/421,452.68
  6. Step 6: Final answer
    x = 358,738.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.