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Finding the Fourth Proportional to 328,278.42, 492,220.80 and 159,466.32

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Solution

The fourth proportional to 328,278.42, 492,220.80 and 159,466.32 is: 239,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,278.42 : 492,220.80 = 159,466.32 : x
  2. Step 2: Convert to fraction form
    328,278.42/492,220.80 = 159,466.32/x
  3. Step 3: Cross multiply
    328,278.42x = 492,220.80 × 159,466.32
  4. Step 4: Simplify right side
    328,278.42x = 78,492,639,603.46
  5. Step 5: Solve for x
    x = 78,492,639,603.46/328,278.42
  6. Step 6: Final answer
    x = 239,103.87

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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.