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Finding the Fourth Proportional to 312,303.56, 430,978.41 and 169,063.56

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Solution

The fourth proportional to 312,303.56, 430,978.41 and 169,063.56 is: 233,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,303.56 : 430,978.41 = 169,063.56 : x
  2. Step 2: Convert to fraction form
    312,303.56/430,978.41 = 169,063.56/x
  3. Step 3: Cross multiply
    312,303.56x = 430,978.41 × 169,063.56
  4. Step 4: Simplify right side
    312,303.56x = 72,862,744,277.74
  5. Step 5: Solve for x
    x = 72,862,744,277.74/312,303.56
  6. Step 6: Final answer
    x = 233,307.44

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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.