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Finding the Fourth Proportional to 288,858.20, 432,941.70 and 148,544.60

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Solution

The fourth proportional to 288,858.20, 432,941.70 and 148,544.60 is: 222,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858.20 : 432,941.70 = 148,544.60 : x
  2. Step 2: Convert to fraction form
    288,858.20/432,941.70 = 148,544.60/x
  3. Step 3: Cross multiply
    288,858.20x = 432,941.70 × 148,544.60
  4. Step 4: Simplify right side
    288,858.20x = 64,311,151,649.82
  5. Step 5: Solve for x
    x = 64,311,151,649.82/288,858.20
  6. Step 6: Final answer
    x = 222,639.18

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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.