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Finding the Fourth Proportional to 262,202.40, 361,746 and 154,718.64

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Solution

The fourth proportional to 262,202.40, 361,746 and 154,718.64 is: 213,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,202.40 : 361,746 = 154,718.64 : x
  2. Step 2: Convert to fraction form
    262,202.40/361,746 = 154,718.64/x
  3. Step 3: Cross multiply
    262,202.40x = 361,746 × 154,718.64
  4. Step 4: Simplify right side
    262,202.40x = 55,968,849,145.44
  5. Step 5: Solve for x
    x = 55,968,849,145.44/262,202.40
  6. Step 6: Final answer
    x = 213,456.66

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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.