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Finding the Fourth Proportional to 553,480.40, 830,107.20 and 154,020.80

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Solution

The fourth proportional to 553,480.40, 830,107.20 and 154,020.80 is: 230,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,480.40 : 830,107.20 = 154,020.80 : x
  2. Step 2: Convert to fraction form
    553,480.40/830,107.20 = 154,020.80/x
  3. Step 3: Cross multiply
    553,480.40x = 830,107.20 × 154,020.80
  4. Step 4: Simplify right side
    553,480.40x = 127,853,775,029.76
  5. Step 5: Solve for x
    x = 127,853,775,029.76/553,480.40
  6. Step 6: Final answer
    x = 230,999.64

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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.