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Finding the Fourth Proportional to 402,911.60, 604,586.10 and 166,278.20

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Solution

The fourth proportional to 402,911.60, 604,586.10 and 166,278.20 is: 249,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,911.60 : 604,586.10 = 166,278.20 : x
  2. Step 2: Convert to fraction form
    402,911.60/604,586.10 = 166,278.20/x
  3. Step 3: Cross multiply
    402,911.60x = 604,586.10 × 166,278.20
  4. Step 4: Simplify right side
    402,911.60x = 100,529,488,453.02
  5. Step 5: Solve for x
    x = 100,529,488,453.02/402,911.60
  6. Step 6: Final answer
    x = 249,507.56

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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.