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Finding the Fourth Proportional to 261,915, 361,425.69 and 154,460.40

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Solution

The fourth proportional to 261,915, 361,425.69 and 154,460.40 is: 213,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,915 : 361,425.69 = 154,460.40 : x
  2. Step 2: Convert to fraction form
    261,915/361,425.69 = 154,460.40/x
  3. Step 3: Cross multiply
    261,915x = 361,425.69 × 154,460.40
  4. Step 4: Simplify right side
    261,915x = 55,825,956,647.68
  5. Step 5: Solve for x
    x = 55,825,956,647.68/261,915
  6. Step 6: Final answer
    x = 213,145.32

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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.