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Finding the Fourth Proportional to 328,712.96, 493,073.16 and 115,485.92

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Solution

The fourth proportional to 328,712.96, 493,073.16 and 115,485.92 is: 173,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,712.96 : 493,073.16 = 115,485.92 : x
  2. Step 2: Convert to fraction form
    328,712.96/493,073.16 = 115,485.92/x
  3. Step 3: Cross multiply
    328,712.96x = 493,073.16 × 115,485.92
  4. Step 4: Simplify right side
    328,712.96x = 56,943,007,509.91
  5. Step 5: Solve for x
    x = 56,943,007,509.91/328,712.96
  6. Step 6: Final answer
    x = 173,230.19

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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.