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Finding the Fourth Proportional to 305,073, 421,000.86 and 185,841

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Solution

The fourth proportional to 305,073, 421,000.86 and 185,841 is: 256,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,073 : 421,000.86 = 185,841 : x
  2. Step 2: Convert to fraction form
    305,073/421,000.86 = 185,841/x
  3. Step 3: Cross multiply
    305,073x = 421,000.86 × 185,841
  4. Step 4: Simplify right side
    305,073x = 78,239,220,823.26
  5. Step 5: Solve for x
    x = 78,239,220,823.26/305,073
  6. Step 6: Final answer
    x = 256,460.65

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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.