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Finding the Fourth Proportional to 370,978.70, 511,950.63 and 209,830.28

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Solution

The fourth proportional to 370,978.70, 511,950.63 and 209,830.28 is: 289,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,978.70 : 511,950.63 = 209,830.28 : x
  2. Step 2: Convert to fraction form
    370,978.70/511,950.63 = 209,830.28/x
  3. Step 3: Cross multiply
    370,978.70x = 511,950.63 × 209,830.28
  4. Step 4: Simplify right side
    370,978.70x = 107,422,741,479.32
  5. Step 5: Solve for x
    x = 107,422,741,479.32/370,978.70
  6. Step 6: Final answer
    x = 289,565.80

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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.