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Finding the Fourth Proportional to 553,394.49, 830,012.82 and 174,305.39

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Solution

The fourth proportional to 553,394.49, 830,012.82 and 174,305.39 is: 261,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,394.49 : 830,012.82 = 174,305.39 : x
  2. Step 2: Convert to fraction form
    553,394.49/830,012.82 = 174,305.39/x
  3. Step 3: Cross multiply
    553,394.49x = 830,012.82 × 174,305.39
  4. Step 4: Simplify right side
    553,394.49x = 144,675,704,145.04
  5. Step 5: Solve for x
    x = 144,675,704,145.04/553,394.49
  6. Step 6: Final answer
    x = 261,433.22

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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.