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Finding the Fourth Proportional to 602,049.78, 830,838.06 and 330,142.50

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Solution

The fourth proportional to 602,049.78, 830,838.06 and 330,142.50 is: 455,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,049.78 : 830,838.06 = 330,142.50 : x
  2. Step 2: Convert to fraction form
    602,049.78/830,838.06 = 330,142.50/x
  3. Step 3: Cross multiply
    602,049.78x = 830,838.06 × 330,142.50
  4. Step 4: Simplify right side
    602,049.78x = 274,294,954,223.55
  5. Step 5: Solve for x
    x = 274,294,954,223.55/602,049.78
  6. Step 6: Final answer
    x = 455,601.78

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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.