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Finding the Fourth Proportional to 614,369.28, 847,839 and 342,429.60

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Solution

The fourth proportional to 614,369.28, 847,839 and 342,429.60 is: 472,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,369.28 : 847,839 = 342,429.60 : x
  2. Step 2: Convert to fraction form
    614,369.28/847,839 = 342,429.60/x
  3. Step 3: Cross multiply
    614,369.28x = 847,839 × 342,429.60
  4. Step 4: Simplify right side
    614,369.28x = 290,325,169,634.40
  5. Step 5: Solve for x
    x = 290,325,169,634.40/614,369.28
  6. Step 6: Final answer
    x = 472,558.08

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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.