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Finding the Fourth Proportional to 413,005.42, 570,147.69 and 276,989.68

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Solution

The fourth proportional to 413,005.42, 570,147.69 and 276,989.68 is: 382,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,005.42 : 570,147.69 = 276,989.68 : x
  2. Step 2: Convert to fraction form
    413,005.42/570,147.69 = 276,989.68/x
  3. Step 3: Cross multiply
    413,005.42x = 570,147.69 × 276,989.68
  4. Step 4: Simplify right side
    413,005.42x = 157,925,026,205.84
  5. Step 5: Solve for x
    x = 157,925,026,205.84/413,005.42
  6. Step 6: Final answer
    x = 382,380.03

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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.