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Finding the Fourth Proportional to 285,405, 393,858.90 and 158,088.80

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Solution

The fourth proportional to 285,405, 393,858.90 and 158,088.80 is: 218,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,405 : 393,858.90 = 158,088.80 : x
  2. Step 2: Convert to fraction form
    285,405/393,858.90 = 158,088.80/x
  3. Step 3: Cross multiply
    285,405x = 393,858.90 × 158,088.80
  4. Step 4: Simplify right side
    285,405x = 62,264,678,901.03
  5. Step 5: Solve for x
    x = 62,264,678,901.03/285,405
  6. Step 6: Final answer
    x = 218,162.54

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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.