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Finding the Fourth Proportional to 315,647.40, 435,750.56 and 194,855.30

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Solution

The fourth proportional to 315,647.40, 435,750.56 and 194,855.30 is: 268,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,647.40 : 435,750.56 = 194,855.30 : x
  2. Step 2: Convert to fraction form
    315,647.40/435,750.56 = 194,855.30/x
  3. Step 3: Cross multiply
    315,647.40x = 435,750.56 × 194,855.30
  4. Step 4: Simplify right side
    315,647.40x = 84,908,305,305.71
  5. Step 5: Solve for x
    x = 84,908,305,305.71/315,647.40
  6. Step 6: Final answer
    x = 268,997.32

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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.