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Finding the Fourth Proportional to 300,063.51, 413,423.06 and 197,908.74

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Solution

The fourth proportional to 300,063.51, 413,423.06 and 197,908.74 is: 272,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,063.51 : 413,423.06 = 197,908.74 : x
  2. Step 2: Convert to fraction form
    300,063.51/413,423.06 = 197,908.74/x
  3. Step 3: Cross multiply
    300,063.51x = 413,423.06 × 197,908.74
  4. Step 4: Simplify right side
    300,063.51x = 81,820,035,902.00
  5. Step 5: Solve for x
    x = 81,820,035,902.00/300,063.51
  6. Step 6: Final answer
    x = 272,675.73

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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.