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Finding the Fourth Proportional to 298,984.31, 448,478.09 and 77,368.31

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Solution

The fourth proportional to 298,984.31, 448,478.09 and 77,368.31 is: 116,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984.31 : 448,478.09 = 77,368.31 : x
  2. Step 2: Convert to fraction form
    298,984.31/448,478.09 = 77,368.31/x
  3. Step 3: Cross multiply
    298,984.31x = 448,478.09 × 77,368.31
  4. Step 4: Simplify right side
    298,984.31x = 34,697,991,895.33
  5. Step 5: Solve for x
    x = 34,697,991,895.33/298,984.31
  6. Step 6: Final answer
    x = 116,052.89

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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.