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Finding the Fourth Proportional to 409,459.56, 564,795.62 and 281,913.64

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Solution

The fourth proportional to 409,459.56, 564,795.62 and 281,913.64 is: 388,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,459.56 : 564,795.62 = 281,913.64 : x
  2. Step 2: Convert to fraction form
    409,459.56/564,795.62 = 281,913.64/x
  3. Step 3: Cross multiply
    409,459.56x = 564,795.62 × 281,913.64
  4. Step 4: Simplify right side
    409,459.56x = 159,223,589,090.26
  5. Step 5: Solve for x
    x = 159,223,589,090.26/409,459.56
  6. Step 6: Final answer
    x = 388,862.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.