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Finding the Fourth Proportional to 369,455.87, 509,841.89 and 208,307.78

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Solution

The fourth proportional to 369,455.87, 509,841.89 and 208,307.78 is: 287,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,455.87 : 509,841.89 = 208,307.78 : x
  2. Step 2: Convert to fraction form
    369,455.87/509,841.89 = 208,307.78/x
  3. Step 3: Cross multiply
    369,455.87x = 509,841.89 × 208,307.78
  4. Step 4: Simplify right side
    369,455.87x = 106,204,032,489.97
  5. Step 5: Solve for x
    x = 106,204,032,489.97/369,455.87
  6. Step 6: Final answer
    x = 287,460.68

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1.5x scale

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.