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Finding the Fourth Proportional to 356,643.12, 534,879.80 and 143,411.54

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Solution

The fourth proportional to 356,643.12, 534,879.80 and 143,411.54 is: 215,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,643.12 : 534,879.80 = 143,411.54 : x
  2. Step 2: Convert to fraction form
    356,643.12/534,879.80 = 143,411.54/x
  3. Step 3: Cross multiply
    356,643.12x = 534,879.80 × 143,411.54
  4. Step 4: Simplify right side
    356,643.12x = 76,707,935,832.89
  5. Step 5: Solve for x
    x = 76,707,935,832.89/356,643.12
  6. Step 6: Final answer
    x = 215,083.18

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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.