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Finding the Fourth Proportional to 330,430.50, 456,032.97 and 196,294.50

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Solution

The fourth proportional to 330,430.50, 456,032.97 and 196,294.50 is: 270,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,430.50 : 456,032.97 = 196,294.50 : x
  2. Step 2: Convert to fraction form
    330,430.50/456,032.97 = 196,294.50/x
  3. Step 3: Cross multiply
    330,430.50x = 456,032.97 × 196,294.50
  4. Step 4: Simplify right side
    330,430.50x = 89,516,763,829.67
  5. Step 5: Solve for x
    x = 89,516,763,829.67/330,430.50
  6. Step 6: Final answer
    x = 270,909.51

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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.