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Finding the Fourth Proportional to 357,266.73, 493,009.64 and 212,078.59

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Solution

The fourth proportional to 357,266.73, 493,009.64 and 212,078.59 is: 292,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,266.73 : 493,009.64 = 212,078.59 : x
  2. Step 2: Convert to fraction form
    357,266.73/493,009.64 = 212,078.59/x
  3. Step 3: Cross multiply
    357,266.73x = 493,009.64 × 212,078.59
  4. Step 4: Simplify right side
    357,266.73x = 104,556,787,809.99
  5. Step 5: Solve for x
    x = 104,556,787,809.99/357,266.73
  6. Step 6: Final answer
    x = 292,657.50

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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.