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Finding the Fourth Proportional to 328,047.60, 492,090.84 and 103,415.16

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Solution

The fourth proportional to 328,047.60, 492,090.84 and 103,415.16 is: 155,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,047.60 : 492,090.84 = 103,415.16 : x
  2. Step 2: Convert to fraction form
    328,047.60/492,090.84 = 103,415.16/x
  3. Step 3: Cross multiply
    328,047.60x = 492,090.84 × 103,415.16
  4. Step 4: Simplify right side
    328,047.60x = 50,889,652,953.13
  5. Step 5: Solve for x
    x = 50,889,652,953.13/328,047.60
  6. Step 6: Final answer
    x = 155,128.87

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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.