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Finding the Fourth Proportional to 602,409.79, 831,322.12 and 330,470.72

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Solution

The fourth proportional to 602,409.79, 831,322.12 and 330,470.72 is: 456,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,409.79 : 831,322.12 = 330,470.72 : x
  2. Step 2: Convert to fraction form
    602,409.79/831,322.12 = 330,470.72/x
  3. Step 3: Cross multiply
    602,409.79x = 831,322.12 × 330,470.72
  4. Step 4: Simplify right side
    602,409.79x = 274,727,619,548.33
  5. Step 5: Solve for x
    x = 274,727,619,548.33/602,409.79
  6. Step 6: Final answer
    x = 456,047.73

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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.