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Finding the Fourth Proportional to 302,743.20, 454,114.80 and 196,298.40

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Solution

The fourth proportional to 302,743.20, 454,114.80 and 196,298.40 is: 294,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,743.20 : 454,114.80 = 196,298.40 : x
  2. Step 2: Convert to fraction form
    302,743.20/454,114.80 = 196,298.40/x
  3. Step 3: Cross multiply
    302,743.20x = 454,114.80 × 196,298.40
  4. Step 4: Simplify right side
    302,743.20x = 89,142,008,656.32
  5. Step 5: Solve for x
    x = 89,142,008,656.32/302,743.20
  6. Step 6: Final answer
    x = 294,447.60

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1.5x scale

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.