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Finding the Fourth Proportional to 321,071,193.92, 481,808,344.80 and 300,411,917.12

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Solution

The fourth proportional to 321,071,193.92, 481,808,344.80 and 300,411,917.12 is: 450,806,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,071,193.92 : 481,808,344.80 = 300,411,917.12 : x
  2. Step 2: Convert to fraction form
    321,071,193.92/481,808,344.80 = 300,411,917.12/x
  3. Step 3: Cross multiply
    321,071,193.92x = 481,808,344.80 × 300,411,917.12
  4. Step 4: Simplify right side
    321,071,193.92x = 144,740,968,545,781,984
  5. Step 5: Solve for x
    x = 144,740,968,545,781,984/321,071,193.92
  6. Step 6: Final answer
    x = 450,806,460.64

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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.