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Finding the Fourth Proportional to 340,498.36, 510,681.66 and 130,086.28

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Solution

The fourth proportional to 340,498.36, 510,681.66 and 130,086.28 is: 195,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,498.36 : 510,681.66 = 130,086.28 : x
  2. Step 2: Convert to fraction form
    340,498.36/510,681.66 = 130,086.28/x
  3. Step 3: Cross multiply
    340,498.36x = 510,681.66 × 130,086.28
  4. Step 4: Simplify right side
    340,498.36x = 66,432,677,413.62
  5. Step 5: Solve for x
    x = 66,432,677,413.62/340,498.36
  6. Step 6: Final answer
    x = 195,104.25

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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.