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Finding the Fourth Proportional to 326,328.64, 489,492.96 and 115,974.88

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Solution

The fourth proportional to 326,328.64, 489,492.96 and 115,974.88 is: 173,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,328.64 : 489,492.96 = 115,974.88 : x
  2. Step 2: Convert to fraction form
    326,328.64/489,492.96 = 115,974.88/x
  3. Step 3: Cross multiply
    326,328.64x = 489,492.96 × 115,974.88
  4. Step 4: Simplify right side
    326,328.64x = 56,768,887,296.84
  5. Step 5: Solve for x
    x = 56,768,887,296.84/326,328.64
  6. Step 6: Final answer
    x = 173,962.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.