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Finding the Fourth Proportional to 612,064.71, 844,653.96 and 340,158.11

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Solution

The fourth proportional to 612,064.71, 844,653.96 and 340,158.11 is: 469,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,064.71 : 844,653.96 = 340,158.11 : x
  2. Step 2: Convert to fraction form
    612,064.71/844,653.96 = 340,158.11/x
  3. Step 3: Cross multiply
    612,064.71x = 844,653.96 × 340,158.11
  4. Step 4: Simplify right side
    612,064.71x = 287,315,890,414.35
  5. Step 5: Solve for x
    x = 287,315,890,414.35/612,064.71
  6. Step 6: Final answer
    x = 469,420.77

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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.