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Finding the Fourth Proportional to 328,745,092.80, 492,173,920.80 and 319,307,908.80

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Solution

The fourth proportional to 328,745,092.80, 492,173,920.80 and 319,307,908.80 is: 478,045,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,745,092.80 : 492,173,920.80 = 319,307,908.80 : x
  2. Step 2: Convert to fraction form
    328,745,092.80/492,173,920.80 = 319,307,908.80/x
  3. Step 3: Cross multiply
    328,745,092.80x = 492,173,920.80 × 319,307,908.80
  4. Step 4: Simplify right side
    328,745,092.80x = 157,155,025,416,544,832
  5. Step 5: Solve for x
    x = 157,155,025,416,544,832/328,745,092.80
  6. Step 6: Final answer
    x = 478,045,235.83

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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.