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Finding the Fourth Proportional to 343,220.40, 514,879.20 and 106,538.40

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Solution

The fourth proportional to 343,220.40, 514,879.20 and 106,538.40 is: 159,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,220.40 : 514,879.20 = 106,538.40 : x
  2. Step 2: Convert to fraction form
    343,220.40/514,879.20 = 106,538.40/x
  3. Step 3: Cross multiply
    343,220.40x = 514,879.20 × 106,538.40
  4. Step 4: Simplify right side
    343,220.40x = 54,854,406,161.28
  5. Step 5: Solve for x
    x = 54,854,406,161.28/343,220.40
  6. Step 6: Final answer
    x = 159,822.69

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