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Finding the Fourth Proportional to 370,530.47, 511,308.28 and 207,200.43

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Solution

The fourth proportional to 370,530.47, 511,308.28 and 207,200.43 is: 285,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,530.47 : 511,308.28 = 207,200.43 : x
  2. Step 2: Convert to fraction form
    370,530.47/511,308.28 = 207,200.43/x
  3. Step 3: Cross multiply
    370,530.47x = 511,308.28 × 207,200.43
  4. Step 4: Simplify right side
    370,530.47x = 105,943,295,737.56
  5. Step 5: Solve for x
    x = 105,943,295,737.56/370,530.47
  6. Step 6: Final answer
    x = 285,923.31

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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.