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Finding the Fourth Proportional to 219,285.54, 302,605.47 and 137,657.73

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Solution

The fourth proportional to 219,285.54, 302,605.47 and 137,657.73 is: 189,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,285.54 : 302,605.47 = 137,657.73 : x
  2. Step 2: Convert to fraction form
    219,285.54/302,605.47 = 137,657.73/x
  3. Step 3: Cross multiply
    219,285.54x = 302,605.47 × 137,657.73
  4. Step 4: Simplify right side
    219,285.54x = 41,655,982,085.78
  5. Step 5: Solve for x
    x = 41,655,982,085.78/219,285.54
  6. Step 6: Final answer
    x = 189,962.28

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1.5x scale

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.