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Finding the Fourth Proportional to 601,941.78, 830,689.02 and 330,034.50

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Solution

The fourth proportional to 601,941.78, 830,689.02 and 330,034.50 is: 455,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,941.78 : 830,689.02 = 330,034.50 : x
  2. Step 2: Convert to fraction form
    601,941.78/830,689.02 = 330,034.50/x
  3. Step 3: Cross multiply
    601,941.78x = 830,689.02 × 330,034.50
  4. Step 4: Simplify right side
    601,941.78x = 274,156,035,371.19
  5. Step 5: Solve for x
    x = 274,156,035,371.19/601,941.78
  6. Step 6: Final answer
    x = 455,452.74

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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.