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Finding the Fourth Proportional to 312,303.68, 430,978.58 and 169,063.69

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Solution

The fourth proportional to 312,303.68, 430,978.58 and 169,063.69 is: 233,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,303.68 : 430,978.58 = 169,063.69 : x
  2. Step 2: Convert to fraction form
    312,303.68/430,978.58 = 169,063.69/x
  3. Step 3: Cross multiply
    312,303.68x = 430,978.58 × 169,063.69
  4. Step 4: Simplify right side
    312,303.68x = 72,862,826,890.87
  5. Step 5: Solve for x
    x = 72,862,826,890.87/312,303.68
  6. Step 6: Final answer
    x = 233,307.62

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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.