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Finding the Fourth Proportional to 413,552.79, 620,412.21 and 188,852.88

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Solution

The fourth proportional to 413,552.79, 620,412.21 and 188,852.88 is: 283,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,552.79 : 620,412.21 = 188,852.88 : x
  2. Step 2: Convert to fraction form
    413,552.79/620,412.21 = 188,852.88/x
  3. Step 3: Cross multiply
    413,552.79x = 620,412.21 × 188,852.88
  4. Step 4: Simplify right side
    413,552.79x = 117,166,634,972.21
  5. Step 5: Solve for x
    x = 117,166,634,972.21/413,552.79
  6. Step 6: Final answer
    x = 283,317.24

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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.