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Finding the Fourth Proportional to 340,115.86, 509,835.26 and 162,415.13

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Solution

The fourth proportional to 340,115.86, 509,835.26 and 162,415.13 is: 243,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,115.86 : 509,835.26 = 162,415.13 : x
  2. Step 2: Convert to fraction form
    340,115.86/509,835.26 = 162,415.13/x
  3. Step 3: Cross multiply
    340,115.86x = 509,835.26 × 162,415.13
  4. Step 4: Simplify right side
    340,115.86x = 82,804,957,888.35
  5. Step 5: Solve for x
    x = 82,804,957,888.35/340,115.86
  6. Step 6: Final answer
    x = 243,461.03

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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.