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Finding the Fourth Proportional to 320,379,497.40, 480,569,246.10 and 78,042,401.40

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Solution

The fourth proportional to 320,379,497.40, 480,569,246.10 and 78,042,401.40 is: 117,063,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,379,497.40 : 480,569,246.10 = 78,042,401.40 : x
  2. Step 2: Convert to fraction form
    320,379,497.40/480,569,246.10 = 78,042,401.40/x
  3. Step 3: Cross multiply
    320,379,497.40x = 480,569,246.10 × 78,042,401.40
  4. Step 4: Simplify right side
    320,379,497.40x = 37,504,778,004,631,592
  5. Step 5: Solve for x
    x = 37,504,778,004,631,592/320,379,497.40
  6. Step 6: Final answer
    x = 117,063,602.10

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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.