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Finding the Fourth Proportional to 305,605.56, 421,686.32 and 176,523.50

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Solution

The fourth proportional to 305,605.56, 421,686.32 and 176,523.50 is: 243,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,605.56 : 421,686.32 = 176,523.50 : x
  2. Step 2: Convert to fraction form
    305,605.56/421,686.32 = 176,523.50/x
  3. Step 3: Cross multiply
    305,605.56x = 421,686.32 × 176,523.50
  4. Step 4: Simplify right side
    305,605.56x = 74,437,545,108.52
  5. Step 5: Solve for x
    x = 74,437,545,108.52/305,605.56
  6. Step 6: Final answer
    x = 243,573.92

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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.