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Finding the Fourth Proportional to 553,716.20, 830,055.90 and 433,706.60

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Solution

The fourth proportional to 553,716.20, 830,055.90 and 433,706.60 is: 650,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,716.20 : 830,055.90 = 433,706.60 : x
  2. Step 2: Convert to fraction form
    553,716.20/830,055.90 = 433,706.60/x
  3. Step 3: Cross multiply
    553,716.20x = 830,055.90 × 433,706.60
  4. Step 4: Simplify right side
    553,716.20x = 360,000,722,198.94
  5. Step 5: Solve for x
    x = 360,000,722,198.94/553,716.20
  6. Step 6: Final answer
    x = 650,153.86

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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.