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Finding the Fourth Proportional to 357,746.16, 493,631.64 and 206,814

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Solution

The fourth proportional to 357,746.16, 493,631.64 and 206,814 is: 285,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,746.16 : 493,631.64 = 206,814 : x
  2. Step 2: Convert to fraction form
    357,746.16/493,631.64 = 206,814/x
  3. Step 3: Cross multiply
    357,746.16x = 493,631.64 × 206,814
  4. Step 4: Simplify right side
    357,746.16x = 102,089,933,994.96
  5. Step 5: Solve for x
    x = 102,089,933,994.96/357,746.16
  6. Step 6: Final answer
    x = 285,369.75

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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.