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Finding the Fourth Proportional to 370,706.95, 511,597.65 and 209,576.89

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Solution

The fourth proportional to 370,706.95, 511,597.65 and 209,576.89 is: 289,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,706.95 : 511,597.65 = 209,576.89 : x
  2. Step 2: Convert to fraction form
    370,706.95/511,597.65 = 209,576.89/x
  3. Step 3: Cross multiply
    370,706.95x = 511,597.65 × 209,576.89
  4. Step 4: Simplify right side
    370,706.95x = 107,219,044,418.31
  5. Step 5: Solve for x
    x = 107,219,044,418.31/370,706.95
  6. Step 6: Final answer
    x = 289,228.58

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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.