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Finding the Fourth Proportional to 345,448.15, 476,719.42 and 200,282.15

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Solution

The fourth proportional to 345,448.15, 476,719.42 and 200,282.15 is: 276,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,448.15 : 476,719.42 = 200,282.15 : x
  2. Step 2: Convert to fraction form
    345,448.15/476,719.42 = 200,282.15/x
  3. Step 3: Cross multiply
    345,448.15x = 476,719.42 × 200,282.15
  4. Step 4: Simplify right side
    345,448.15x = 95,478,390,384.35
  5. Step 5: Solve for x
    x = 95,478,390,384.35/345,448.15
  6. Step 6: Final answer
    x = 276,389.93

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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.