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Finding the Fourth Proportional to 216,300.56, 298,491.66 and 120,808.64

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Solution

The fourth proportional to 216,300.56, 298,491.66 and 120,808.64 is: 166,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,300.56 : 298,491.66 = 120,808.64 : x
  2. Step 2: Convert to fraction form
    216,300.56/298,491.66 = 120,808.64/x
  3. Step 3: Cross multiply
    216,300.56x = 298,491.66 × 120,808.64
  4. Step 4: Simplify right side
    216,300.56x = 36,060,371,495.94
  5. Step 5: Solve for x
    x = 36,060,371,495.94/216,300.56
  6. Step 6: Final answer
    x = 166,714.18

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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.