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Finding the Fourth Proportional to 370,710.62, 511,602.72 and 209,580.66

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Solution

The fourth proportional to 370,710.62, 511,602.72 and 209,580.66 is: 289,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,710.62 : 511,602.72 = 209,580.66 : x
  2. Step 2: Convert to fraction form
    370,710.62/511,602.72 = 209,580.66/x
  3. Step 3: Cross multiply
    370,710.62x = 511,602.72 × 209,580.66
  4. Step 4: Simplify right side
    370,710.62x = 107,222,034,667.49
  5. Step 5: Solve for x
    x = 107,222,034,667.49/370,710.62
  6. Step 6: Final answer
    x = 289,233.78

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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.