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Finding the Fourth Proportional to 369,036.42, 509,272.05 and 207,894

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Solution

The fourth proportional to 369,036.42, 509,272.05 and 207,894 is: 286,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,036.42 : 509,272.05 = 207,894 : x
  2. Step 2: Convert to fraction form
    369,036.42/509,272.05 = 207,894/x
  3. Step 3: Cross multiply
    369,036.42x = 509,272.05 × 207,894
  4. Step 4: Simplify right side
    369,036.42x = 105,874,603,562.70
  5. Step 5: Solve for x
    x = 105,874,603,562.70/369,036.42
  6. Step 6: Final answer
    x = 286,894.73

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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.