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Finding the Fourth Proportional to 319,154.98, 478,627.07 and 105,873.86

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Solution

The fourth proportional to 319,154.98, 478,627.07 and 105,873.86 is: 158,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,154.98 : 478,627.07 = 105,873.86 : x
  2. Step 2: Convert to fraction form
    319,154.98/478,627.07 = 105,873.86/x
  3. Step 3: Cross multiply
    319,154.98x = 478,627.07 × 105,873.86
  4. Step 4: Simplify right side
    319,154.98x = 50,674,095,401.39
  5. Step 5: Solve for x
    x = 50,674,095,401.39/319,154.98
  6. Step 6: Final answer
    x = 158,775.83

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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.