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Finding the Fourth Proportional to 369,101.77, 509,347.43 and 207,990.61

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Solution

The fourth proportional to 369,101.77, 509,347.43 and 207,990.61 is: 287,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,101.77 : 509,347.43 = 207,990.61 : x
  2. Step 2: Convert to fraction form
    369,101.77/509,347.43 = 207,990.61/x
  3. Step 3: Cross multiply
    369,101.77x = 509,347.43 × 207,990.61
  4. Step 4: Simplify right side
    369,101.77x = 105,939,482,667.63
  5. Step 5: Solve for x
    x = 105,939,482,667.63/369,101.77
  6. Step 6: Final answer
    x = 287,019.71

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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.