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Finding the Fourth Proportional to 319,859.69, 478,783.51 and 219,432.65

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Solution

The fourth proportional to 319,859.69, 478,783.51 and 219,432.65 is: 328,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,859.69 : 478,783.51 = 219,432.65 : x
  2. Step 2: Convert to fraction form
    319,859.69/478,783.51 = 219,432.65/x
  3. Step 3: Cross multiply
    319,859.69x = 478,783.51 × 219,432.65
  4. Step 4: Simplify right side
    319,859.69x = 105,060,731,433.10
  5. Step 5: Solve for x
    x = 105,060,731,433.10/319,859.69
  6. Step 6: Final answer
    x = 328,458.81

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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.