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Finding the Fourth Proportional to 343,162.86, 514,568.79 and 143,428.74

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Solution

The fourth proportional to 343,162.86, 514,568.79 and 143,428.74 is: 215,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,162.86 : 514,568.79 = 143,428.74 : x
  2. Step 2: Convert to fraction form
    343,162.86/514,568.79 = 143,428.74/x
  3. Step 3: Cross multiply
    343,162.86x = 514,568.79 × 143,428.74
  4. Step 4: Simplify right side
    343,162.86x = 73,803,953,193.02
  5. Step 5: Solve for x
    x = 73,803,953,193.02/343,162.86
  6. Step 6: Final answer
    x = 215,069.76

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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.