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Finding the Fourth Proportional to 305,052, 420,971.76 and 185,820

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Solution

The fourth proportional to 305,052, 420,971.76 and 185,820 is: 256,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052 : 420,971.76 = 185,820 : x
  2. Step 2: Convert to fraction form
    305,052/420,971.76 = 185,820/x
  3. Step 3: Cross multiply
    305,052x = 420,971.76 × 185,820
  4. Step 4: Simplify right side
    305,052x = 78,224,972,443.20
  5. Step 5: Solve for x
    x = 78,224,972,443.20/305,052
  6. Step 6: Final answer
    x = 256,431.60

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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.