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Finding the Fourth Proportional to 228,421.13, 315,364.14 and 146,782.44

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Solution

The fourth proportional to 228,421.13, 315,364.14 and 146,782.44 is: 202,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,421.13 : 315,364.14 = 146,782.44 : x
  2. Step 2: Convert to fraction form
    228,421.13/315,364.14 = 146,782.44/x
  3. Step 3: Cross multiply
    228,421.13x = 315,364.14 × 146,782.44
  4. Step 4: Simplify right side
    228,421.13x = 46,289,917,957.70
  5. Step 5: Solve for x
    x = 46,289,917,957.70/228,421.13
  6. Step 6: Final answer
    x = 202,651.65

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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.