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Finding the Fourth Proportional to 370,790.72, 511,717.41 and 209,647.34

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Solution

The fourth proportional to 370,790.72, 511,717.41 and 209,647.34 is: 289,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,790.72 : 511,717.41 = 209,647.34 : x
  2. Step 2: Convert to fraction form
    370,790.72/511,717.41 = 209,647.34/x
  3. Step 3: Cross multiply
    370,790.72x = 511,717.41 × 209,647.34
  4. Step 4: Simplify right side
    370,790.72x = 107,280,193,838.19
  5. Step 5: Solve for x
    x = 107,280,193,838.19/370,790.72
  6. Step 6: Final answer
    x = 289,328.15

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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.