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Finding the Fourth Proportional to 305,354.69, 421,326.38 and 176,290.93

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Solution

The fourth proportional to 305,354.69, 421,326.38 and 176,290.93 is: 243,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.69 : 421,326.38 = 176,290.93 : x
  2. Step 2: Convert to fraction form
    305,354.69/421,326.38 = 176,290.93/x
  3. Step 3: Cross multiply
    305,354.69x = 421,326.38 × 176,290.93
  4. Step 4: Simplify right side
    305,354.69x = 74,276,019,339.48
  5. Step 5: Solve for x
    x = 74,276,019,339.48/305,354.69
  6. Step 6: Final answer
    x = 243,245.05

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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.