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Finding the Fourth Proportional to 312,074.81, 430,666.36 and 168,837.94

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Solution

The fourth proportional to 312,074.81, 430,666.36 and 168,837.94 is: 232,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,074.81 : 430,666.36 = 168,837.94 : x
  2. Step 2: Convert to fraction form
    312,074.81/430,666.36 = 168,837.94/x
  3. Step 3: Cross multiply
    312,074.81x = 430,666.36 × 168,837.94
  4. Step 4: Simplify right side
    312,074.81x = 72,712,819,550.94
  5. Step 5: Solve for x
    x = 72,712,819,550.94/312,074.81
  6. Step 6: Final answer
    x = 232,998.04

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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.