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Finding the Fourth Proportional to 702,178,838.85, 969,022,455.39 and 400,758,104.66

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Solution

The fourth proportional to 702,178,838.85, 969,022,455.39 and 400,758,104.66 is: 553,055,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,178,838.85 : 969,022,455.39 = 400,758,104.66 : x
  2. Step 2: Convert to fraction form
    702,178,838.85/969,022,455.39 = 400,758,104.66/x
  3. Step 3: Cross multiply
    702,178,838.85x = 969,022,455.39 × 400,758,104.66
  4. Step 4: Simplify right side
    702,178,838.85x = 388,343,602,590,230,656
  5. Step 5: Solve for x
    x = 388,343,602,590,230,656/702,178,838.85
  6. Step 6: Final answer
    x = 553,055,120.86

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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.