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Finding the Fourth Proportional to 319,128.84, 478,749.96 and 105,909.48

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Solution

The fourth proportional to 319,128.84, 478,749.96 and 105,909.48 is: 158,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,128.84 : 478,749.96 = 105,909.48 : x
  2. Step 2: Convert to fraction form
    319,128.84/478,749.96 = 105,909.48/x
  3. Step 3: Cross multiply
    319,128.84x = 478,749.96 × 105,909.48
  4. Step 4: Simplify right side
    319,128.84x = 50,704,159,313.62
  5. Step 5: Solve for x
    x = 50,704,159,313.62/319,128.84
  6. Step 6: Final answer
    x = 158,883.04

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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.