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Finding the Fourth Proportional to 553,351.40, 830,804.70 and 343,399.40

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Solution

The fourth proportional to 553,351.40, 830,804.70 and 343,399.40 is: 515,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,351.40 : 830,804.70 = 343,399.40 : x
  2. Step 2: Convert to fraction form
    553,351.40/830,804.70 = 343,399.40/x
  3. Step 3: Cross multiply
    553,351.40x = 830,804.70 × 343,399.40
  4. Step 4: Simplify right side
    553,351.40x = 285,297,835,497.18
  5. Step 5: Solve for x
    x = 285,297,835,497.18/553,351.40
  6. Step 6: Final answer
    x = 515,581.66

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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.