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Finding the Fourth Proportional to 370,990.88, 511,967.43 and 209,842.46

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Solution

The fourth proportional to 370,990.88, 511,967.43 and 209,842.46 is: 289,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,990.88 : 511,967.43 = 209,842.46 : x
  2. Step 2: Convert to fraction form
    370,990.88/511,967.43 = 209,842.46/x
  3. Step 3: Cross multiply
    370,990.88x = 511,967.43 × 209,842.46
  4. Step 4: Simplify right side
    370,990.88x = 107,432,502,391.24
  5. Step 5: Solve for x
    x = 107,432,502,391.24/370,990.88
  6. Step 6: Final answer
    x = 289,582.60

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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.