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Finding the Fourth Proportional to 320,503.76, 480,019.56 and 160,087.32

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Solution

The fourth proportional to 320,503.76, 480,019.56 and 160,087.32 is: 239,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,503.76 : 480,019.56 = 160,087.32 : x
  2. Step 2: Convert to fraction form
    320,503.76/480,019.56 = 160,087.32/x
  3. Step 3: Cross multiply
    320,503.76x = 480,019.56 × 160,087.32
  4. Step 4: Simplify right side
    320,503.76x = 76,845,044,907.98
  5. Step 5: Solve for x
    x = 76,845,044,907.98/320,503.76
  6. Step 6: Final answer
    x = 239,763.32

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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.