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Finding the Fourth Proportional to 298,460.32, 411,862.80 and 164,315.68

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Solution

The fourth proportional to 298,460.32, 411,862.80 and 164,315.68 is: 226,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,460.32 : 411,862.80 = 164,315.68 : x
  2. Step 2: Convert to fraction form
    298,460.32/411,862.80 = 164,315.68/x
  3. Step 3: Cross multiply
    298,460.32x = 411,862.80 × 164,315.68
  4. Step 4: Simplify right side
    298,460.32x = 67,675,516,048.70
  5. Step 5: Solve for x
    x = 67,675,516,048.70/298,460.32
  6. Step 6: Final answer
    x = 226,748.79

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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.