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Finding the Fourth Proportional to 421,095.36, 581,119.20 and 230,116.80

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Solution

The fourth proportional to 421,095.36, 581,119.20 and 230,116.80 is: 317,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,095.36 : 581,119.20 = 230,116.80 : x
  2. Step 2: Convert to fraction form
    421,095.36/581,119.20 = 230,116.80/x
  3. Step 3: Cross multiply
    421,095.36x = 581,119.20 × 230,116.80
  4. Step 4: Simplify right side
    421,095.36x = 133,725,290,722.56
  5. Step 5: Solve for x
    x = 133,725,290,722.56/421,095.36
  6. Step 6: Final answer
    x = 317,565.34

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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.