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Finding the Fourth Proportional to 340,807.07, 511,211.82 and 104,148.77

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Solution

The fourth proportional to 340,807.07, 511,211.82 and 104,148.77 is: 156,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,807.07 : 511,211.82 = 104,148.77 : x
  2. Step 2: Convert to fraction form
    340,807.07/511,211.82 = 104,148.77/x
  3. Step 3: Cross multiply
    340,807.07x = 511,211.82 × 104,148.77
  4. Step 4: Simplify right side
    340,807.07x = 53,242,079,706.40
  5. Step 5: Solve for x
    x = 53,242,079,706.40/340,807.07
  6. Step 6: Final answer
    x = 156,223.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.