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Finding the Fourth Proportional to 413,066.26, 618,395.89 and 306,920.67

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Solution

The fourth proportional to 413,066.26, 618,395.89 and 306,920.67 is: 459,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,066.26 : 618,395.89 = 306,920.67 : x
  2. Step 2: Convert to fraction form
    413,066.26/618,395.89 = 306,920.67/x
  3. Step 3: Cross multiply
    413,066.26x = 618,395.89 × 306,920.67
  4. Step 4: Simplify right side
    413,066.26x = 189,798,480,884.05
  5. Step 5: Solve for x
    x = 189,798,480,884.05/413,066.26
  6. Step 6: Final answer
    x = 459,486.77

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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.