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Finding the Fourth Proportional to 305,616.85, 458,534.62 and 155,894.83

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Solution

The fourth proportional to 305,616.85, 458,534.62 and 155,894.83 is: 233,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616.85 : 458,534.62 = 155,894.83 : x
  2. Step 2: Convert to fraction form
    305,616.85/458,534.62 = 155,894.83/x
  3. Step 3: Cross multiply
    305,616.85x = 458,534.62 × 155,894.83
  4. Step 4: Simplify right side
    305,616.85x = 71,483,175,682.55
  5. Step 5: Solve for x
    x = 71,483,175,682.55/305,616.85
  6. Step 6: Final answer
    x = 233,898.02

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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.