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Finding the Fourth Proportional to 290,833.88, 436,659.54 and 148,781.05

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Solution

The fourth proportional to 290,833.88, 436,659.54 and 148,781.05 is: 223,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,833.88 : 436,659.54 = 148,781.05 : x
  2. Step 2: Convert to fraction form
    290,833.88/436,659.54 = 148,781.05/x
  3. Step 3: Cross multiply
    290,833.88x = 436,659.54 × 148,781.05
  4. Step 4: Simplify right side
    290,833.88x = 64,966,666,638.84
  5. Step 5: Solve for x
    x = 64,966,666,638.84/290,833.88
  6. Step 6: Final answer
    x = 223,380.67

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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.