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Finding the Fourth Proportional to 305,530.61, 421,682.91 and 178,206.20

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Solution

The fourth proportional to 305,530.61, 421,682.91 and 178,206.20 is: 245,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,530.61 : 421,682.91 = 178,206.20 : x
  2. Step 2: Convert to fraction form
    305,530.61/421,682.91 = 178,206.20/x
  3. Step 3: Cross multiply
    305,530.61x = 421,682.91 × 178,206.20
  4. Step 4: Simplify right side
    305,530.61x = 75,146,506,887.63
  5. Step 5: Solve for x
    x = 75,146,506,887.63/305,530.61
  6. Step 6: Final answer
    x = 245,954.10

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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.