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Finding the Fourth Proportional to 612,153.18, 844,754.67 and 340,214.01

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Solution

The fourth proportional to 612,153.18, 844,754.67 and 340,214.01 is: 469,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,153.18 : 844,754.67 = 340,214.01 : x
  2. Step 2: Convert to fraction form
    612,153.18/844,754.67 = 340,214.01/x
  3. Step 3: Cross multiply
    612,153.18x = 844,754.67 × 340,214.01
  4. Step 4: Simplify right side
    612,153.18x = 287,397,370,579.10
  5. Step 5: Solve for x
    x = 287,397,370,579.10/612,153.18
  6. Step 6: Final answer
    x = 469,486.04

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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.