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Finding the Fourth Proportional to 512,954.86, 707,963.82 and 347,307.70

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Solution

The fourth proportional to 512,954.86, 707,963.82 and 347,307.70 is: 479,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954.86 : 707,963.82 = 347,307.70 : x
  2. Step 2: Convert to fraction form
    512,954.86/707,963.82 = 347,307.70/x
  3. Step 3: Cross multiply
    512,954.86x = 707,963.82 × 347,307.70
  4. Step 4: Simplify right side
    512,954.86x = 245,881,286,007.41
  5. Step 5: Solve for x
    x = 245,881,286,007.41/512,954.86
  6. Step 6: Final answer
    x = 479,342.93

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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.