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Finding the Fourth Proportional to 602,410.16, 831,322.64 and 330,471.09

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Solution

The fourth proportional to 602,410.16, 831,322.64 and 330,471.09 is: 456,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,410.16 : 831,322.64 = 330,471.09 : x
  2. Step 2: Convert to fraction form
    602,410.16/831,322.64 = 330,471.09/x
  3. Step 3: Cross multiply
    602,410.16x = 831,322.64 × 330,471.09
  4. Step 4: Simplify right side
    602,410.16x = 274,728,099,808.66
  5. Step 5: Solve for x
    x = 274,728,099,808.66/602,410.16
  6. Step 6: Final answer
    x = 456,048.25

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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.