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Finding the Fourth Proportional to 328,529.46, 492,798.14 and 128,943.84

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Solution

The fourth proportional to 328,529.46, 492,798.14 and 128,943.84 is: 193,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,529.46 : 492,798.14 = 128,943.84 : x
  2. Step 2: Convert to fraction form
    328,529.46/492,798.14 = 128,943.84/x
  3. Step 3: Cross multiply
    328,529.46x = 492,798.14 × 128,943.84
  4. Step 4: Simplify right side
    328,529.46x = 63,543,284,516.46
  5. Step 5: Solve for x
    x = 63,543,284,516.46/328,529.46
  6. Step 6: Final answer
    x = 193,417.31

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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.