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Finding the Fourth Proportional to 553,374.40, 830,839.20 and 343,422.40

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Solution

The fourth proportional to 553,374.40, 830,839.20 and 343,422.40 is: 515,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,374.40 : 830,839.20 = 343,422.40 : x
  2. Step 2: Convert to fraction form
    553,374.40/830,839.20 = 343,422.40/x
  3. Step 3: Cross multiply
    553,374.40x = 830,839.20 × 343,422.40
  4. Step 4: Simplify right side
    553,374.40x = 285,328,792,078.08
  5. Step 5: Solve for x
    x = 285,328,792,078.08/553,374.40
  6. Step 6: Final answer
    x = 515,616.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.