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Finding the Fourth Proportional to 262,710, 362,539.80 and 143,478

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Solution

The fourth proportional to 262,710, 362,539.80 and 143,478 is: 197,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,710 : 362,539.80 = 143,478 : x
  2. Step 2: Convert to fraction form
    262,710/362,539.80 = 143,478/x
  3. Step 3: Cross multiply
    262,710x = 362,539.80 × 143,478
  4. Step 4: Simplify right side
    262,710x = 52,016,485,424.40
  5. Step 5: Solve for x
    x = 52,016,485,424.40/262,710
  6. Step 6: Final answer
    x = 197,999.64

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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.