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Finding the Fourth Proportional to 330,426, 456,026.76 and 196,290

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Solution

The fourth proportional to 330,426, 456,026.76 and 196,290 is: 270,903.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,426 : 456,026.76 = 196,290 : x
  2. Step 2: Convert to fraction form
    330,426/456,026.76 = 196,290/x
  3. Step 3: Cross multiply
    330,426x = 456,026.76 × 196,290
  4. Step 4: Simplify right side
    330,426x = 89,513,492,720.40
  5. Step 5: Solve for x
    x = 89,513,492,720.40/330,426
  6. Step 6: Final answer
    x = 270,903.30

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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.