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Finding the Fourth Proportional to 302,643.60, 453,965.40 and 196,355.40

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Solution

The fourth proportional to 302,643.60, 453,965.40 and 196,355.40 is: 294,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,643.60 : 453,965.40 = 196,355.40 : x
  2. Step 2: Convert to fraction form
    302,643.60/453,965.40 = 196,355.40/x
  3. Step 3: Cross multiply
    302,643.60x = 453,965.40 × 196,355.40
  4. Step 4: Simplify right side
    302,643.60x = 89,138,557,703.16
  5. Step 5: Solve for x
    x = 89,138,557,703.16/302,643.60
  6. Step 6: Final answer
    x = 294,533.10

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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.