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Finding the Fourth Proportional to 328,478.40, 492,717.60 and 91,820.70

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Solution

The fourth proportional to 328,478.40, 492,717.60 and 91,820.70 is: 137,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,478.40 : 492,717.60 = 91,820.70 : x
  2. Step 2: Convert to fraction form
    328,478.40/492,717.60 = 91,820.70/x
  3. Step 3: Cross multiply
    328,478.40x = 492,717.60 × 91,820.70
  4. Step 4: Simplify right side
    328,478.40x = 45,241,674,934.32
  5. Step 5: Solve for x
    x = 45,241,674,934.32/328,478.40
  6. Step 6: Final answer
    x = 137,731.05

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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.