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Finding the Fourth Proportional to 328,215.76, 492,323.60 and 78,897.76

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Solution

The fourth proportional to 328,215.76, 492,323.60 and 78,897.76 is: 118,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,215.76 : 492,323.60 = 78,897.76 : x
  2. Step 2: Convert to fraction form
    328,215.76/492,323.60 = 78,897.76/x
  3. Step 3: Cross multiply
    328,215.76x = 492,323.60 × 78,897.76
  4. Step 4: Simplify right side
    328,215.76x = 38,843,229,235.14
  5. Step 5: Solve for x
    x = 38,843,229,235.14/328,215.76
  6. Step 6: Final answer
    x = 118,346.63

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1.5x scale

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.