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Finding the Fourth Proportional to 328,528.34, 492,845.76 and 128,740.40

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Solution

The fourth proportional to 328,528.34, 492,845.76 and 128,740.40 is: 193,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,528.34 : 492,845.76 = 128,740.40 : x
  2. Step 2: Convert to fraction form
    328,528.34/492,845.76 = 128,740.40/x
  3. Step 3: Cross multiply
    328,528.34x = 492,845.76 × 128,740.40
  4. Step 4: Simplify right side
    328,528.34x = 63,449,157,816.48
  5. Step 5: Solve for x
    x = 63,449,157,816.48/328,528.34
  6. Step 6: Final answer
    x = 193,131.46

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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.