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Finding the Fourth Proportional to 213,873.40, 320,810.10 and 194,190.40

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Solution

The fourth proportional to 213,873.40, 320,810.10 and 194,190.40 is: 291,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,873.40 : 320,810.10 = 194,190.40 : x
  2. Step 2: Convert to fraction form
    213,873.40/320,810.10 = 194,190.40/x
  3. Step 3: Cross multiply
    213,873.40x = 320,810.10 × 194,190.40
  4. Step 4: Simplify right side
    213,873.40x = 62,298,241,643.04
  5. Step 5: Solve for x
    x = 62,298,241,643.04/213,873.40
  6. Step 6: Final answer
    x = 291,285.60

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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.