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Finding the Fourth Proportional to 328,434.16, 492,652.28 and 91,775.28

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Solution

The fourth proportional to 328,434.16, 492,652.28 and 91,775.28 is: 137,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,434.16 : 492,652.28 = 91,775.28 : x
  2. Step 2: Convert to fraction form
    328,434.16/492,652.28 = 91,775.28/x
  3. Step 3: Cross multiply
    328,434.16x = 492,652.28 × 91,775.28
  4. Step 4: Simplify right side
    328,434.16x = 45,213,300,939.64
  5. Step 5: Solve for x
    x = 45,213,300,939.64/328,434.16
  6. Step 6: Final answer
    x = 137,663.21

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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.