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Finding the Fourth Proportional to 230,088.98, 317,620.78 and 154,681.22

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Solution

The fourth proportional to 230,088.98, 317,620.78 and 154,681.22 is: 213,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,088.98 : 317,620.78 = 154,681.22 : x
  2. Step 2: Convert to fraction form
    230,088.98/317,620.78 = 154,681.22/x
  3. Step 3: Cross multiply
    230,088.98x = 317,620.78 × 154,681.22
  4. Step 4: Simplify right side
    230,088.98x = 49,129,969,747.75
  5. Step 5: Solve for x
    x = 49,129,969,747.75/230,088.98
  6. Step 6: Final answer
    x = 213,525.96

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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.