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Finding the Fourth Proportional to 602,042.28, 830,827.98 and 330,135

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Solution

The fourth proportional to 602,042.28, 830,827.98 and 330,135 is: 455,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,042.28 : 830,827.98 = 330,135 : x
  2. Step 2: Convert to fraction form
    602,042.28/830,827.98 = 330,135/x
  3. Step 3: Cross multiply
    602,042.28x = 830,827.98 × 330,135
  4. Step 4: Simplify right side
    602,042.28x = 274,285,395,177.30
  5. Step 5: Solve for x
    x = 274,285,395,177.30/602,042.28
  6. Step 6: Final answer
    x = 455,591.58

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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.