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Finding the Fourth Proportional to 404,585,671.84, 558,329,929.32 and 218,946,696.64

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Solution

The fourth proportional to 404,585,671.84, 558,329,929.32 and 218,946,696.64 is: 302,147,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,585,671.84 : 558,329,929.32 = 218,946,696.64 : x
  2. Step 2: Convert to fraction form
    404,585,671.84/558,329,929.32 = 218,946,696.64/x
  3. Step 3: Cross multiply
    404,585,671.84x = 558,329,929.32 × 218,946,696.64
  4. Step 4: Simplify right side
    404,585,671.84x = 122,244,493,659,858,688
  5. Step 5: Solve for x
    x = 122,244,493,659,858,688/404,585,671.84
  6. Step 6: Final answer
    x = 302,147,362.52

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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.