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Finding the Fourth Proportional to 370,510.37, 511,297.64 and 209,361.93

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Solution

The fourth proportional to 370,510.37, 511,297.64 and 209,361.93 is: 288,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,510.37 : 511,297.64 = 209,361.93 : x
  2. Step 2: Convert to fraction form
    370,510.37/511,297.64 = 209,361.93/x
  3. Step 3: Cross multiply
    370,510.37x = 511,297.64 × 209,361.93
  4. Step 4: Simplify right side
    370,510.37x = 107,046,259,668.04
  5. Step 5: Solve for x
    x = 107,046,259,668.04/370,510.37
  6. Step 6: Final answer
    x = 288,915.70

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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.