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Finding the Fourth Proportional to 298,432.40, 411,835.56 and 164,296.40

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Solution

The fourth proportional to 298,432.40, 411,835.56 and 164,296.40 is: 226,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,432.40 : 411,835.56 = 164,296.40 : x
  2. Step 2: Convert to fraction form
    298,432.40/411,835.56 = 164,296.40/x
  3. Step 3: Cross multiply
    298,432.40x = 411,835.56 × 164,296.40
  4. Step 4: Simplify right side
    298,432.40x = 67,663,099,899.98
  5. Step 5: Solve for x
    x = 67,663,099,899.98/298,432.40
  6. Step 6: Final answer
    x = 226,728.40

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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.