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Finding the Fourth Proportional to 305,663.60, 421,807.55 and 183,225.14

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Solution

The fourth proportional to 305,663.60, 421,807.55 and 183,225.14 is: 252,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,663.60 : 421,807.55 = 183,225.14 : x
  2. Step 2: Convert to fraction form
    305,663.60/421,807.55 = 183,225.14/x
  3. Step 3: Cross multiply
    305,663.60x = 421,807.55 × 183,225.14
  4. Step 4: Simplify right side
    305,663.60x = 77,285,747,401.81
  5. Step 5: Solve for x
    x = 77,285,747,401.81/305,663.60
  6. Step 6: Final answer
    x = 252,845.77

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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.