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Finding the Fourth Proportional to 370,973.32, 511,954.78 and 209,825.22

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Solution

The fourth proportional to 370,973.32, 511,954.78 and 209,825.22 is: 289,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,973.32 : 511,954.78 = 209,825.22 : x
  2. Step 2: Convert to fraction form
    370,973.32/511,954.78 = 209,825.22/x
  3. Step 3: Cross multiply
    370,973.32x = 511,954.78 × 209,825.22
  4. Step 4: Simplify right side
    370,973.32x = 107,421,024,343.55
  5. Step 5: Solve for x
    x = 107,421,024,343.55/370,973.32
  6. Step 6: Final answer
    x = 289,565.36

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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.