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Finding the Fourth Proportional to 340,118.40, 510,186 and 162,644.16

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Solution

The fourth proportional to 340,118.40, 510,186 and 162,644.16 is: 243,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,118.40 : 510,186 = 162,644.16 : x
  2. Step 2: Convert to fraction form
    340,118.40/510,186 = 162,644.16/x
  3. Step 3: Cross multiply
    340,118.40x = 510,186 × 162,644.16
  4. Step 4: Simplify right side
    340,118.40x = 82,978,773,413.76
  5. Step 5: Solve for x
    x = 82,978,773,413.76/340,118.40
  6. Step 6: Final answer
    x = 243,970.26

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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.