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Finding the Fourth Proportional to 312,784.12, 469,208.99 and 102,438.46

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Solution

The fourth proportional to 312,784.12, 469,208.99 and 102,438.46 is: 153,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,784.12 : 469,208.99 = 102,438.46 : x
  2. Step 2: Convert to fraction form
    312,784.12/469,208.99 = 102,438.46/x
  3. Step 3: Cross multiply
    312,784.12x = 469,208.99 × 102,438.46
  4. Step 4: Simplify right side
    312,784.12x = 48,065,046,353.76
  5. Step 5: Solve for x
    x = 48,065,046,353.76/312,784.12
  6. Step 6: Final answer
    x = 153,668.44

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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.