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Finding the Fourth Proportional to 553,266.40, 830,677.20 and 343,314.40

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Solution

The fourth proportional to 553,266.40, 830,677.20 and 343,314.40 is: 515,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,266.40 : 830,677.20 = 343,314.40 : x
  2. Step 2: Convert to fraction form
    553,266.40/830,677.20 = 343,314.40/x
  3. Step 3: Cross multiply
    553,266.40x = 830,677.20 × 343,314.40
  4. Step 4: Simplify right side
    553,266.40x = 285,183,444,511.68
  5. Step 5: Solve for x
    x = 285,183,444,511.68/553,266.40
  6. Step 6: Final answer
    x = 515,454.12

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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.