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Finding the Fourth Proportional to 216,458.54, 298,686.90 and 119,649.32

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Solution

The fourth proportional to 216,458.54, 298,686.90 and 119,649.32 is: 165,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.54 : 298,686.90 = 119,649.32 : x
  2. Step 2: Convert to fraction form
    216,458.54/298,686.90 = 119,649.32/x
  3. Step 3: Cross multiply
    216,458.54x = 298,686.90 × 119,649.32
  4. Step 4: Simplify right side
    216,458.54x = 35,737,684,477.91
  5. Step 5: Solve for x
    x = 35,737,684,477.91/216,458.54
  6. Step 6: Final answer
    x = 165,101.75

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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.