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Finding the Fourth Proportional to 280,357.19, 420,388.01 and 122,401.12

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Solution

The fourth proportional to 280,357.19, 420,388.01 and 122,401.12 is: 183,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,357.19 : 420,388.01 = 122,401.12 : x
  2. Step 2: Convert to fraction form
    280,357.19/420,388.01 = 122,401.12/x
  3. Step 3: Cross multiply
    280,357.19x = 420,388.01 × 122,401.12
  4. Step 4: Simplify right side
    280,357.19x = 51,455,963,258.57
  5. Step 5: Solve for x
    x = 51,455,963,258.57/280,357.19
  6. Step 6: Final answer
    x = 183,537.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.