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Finding the Fourth Proportional to 230,477.29, 317,945.59 and 154,015.16

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Solution

The fourth proportional to 230,477.29, 317,945.59 and 154,015.16 is: 212,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,477.29 : 317,945.59 = 154,015.16 : x
  2. Step 2: Convert to fraction form
    230,477.29/317,945.59 = 154,015.16/x
  3. Step 3: Cross multiply
    230,477.29x = 317,945.59 × 154,015.16
  4. Step 4: Simplify right side
    230,477.29x = 48,968,438,940.38
  5. Step 5: Solve for x
    x = 48,968,438,940.38/230,477.29
  6. Step 6: Final answer
    x = 212,465.36

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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.