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Finding the Fourth Proportional to 328,530.80, 492,431.70 and 128,784.80

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Solution

The fourth proportional to 328,530.80, 492,431.70 and 128,784.80 is: 193,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,530.80 : 492,431.70 = 128,784.80 : x
  2. Step 2: Convert to fraction form
    328,530.80/492,431.70 = 128,784.80/x
  3. Step 3: Cross multiply
    328,530.80x = 492,431.70 × 128,784.80
  4. Step 4: Simplify right side
    328,530.80x = 63,417,717,998.16
  5. Step 5: Solve for x
    x = 63,417,717,998.16/328,530.80
  6. Step 6: Final answer
    x = 193,034.32

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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.