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Finding the Fourth Proportional to 370,626, 511,465.71 and 200,860.13

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Solution

The fourth proportional to 370,626, 511,465.71 and 200,860.13 is: 277,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,626 : 511,465.71 = 200,860.13 : x
  2. Step 2: Convert to fraction form
    370,626/511,465.71 = 200,860.13/x
  3. Step 3: Cross multiply
    370,626x = 511,465.71 × 200,860.13
  4. Step 4: Simplify right side
    370,626x = 102,733,066,443.81
  5. Step 5: Solve for x
    x = 102,733,066,443.81/370,626
  6. Step 6: Final answer
    x = 277,187.96

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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.