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Finding the Fourth Proportional to 553,399.20, 830,098.80 and 313,266.60

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Solution

The fourth proportional to 553,399.20, 830,098.80 and 313,266.60 is: 469,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,399.20 : 830,098.80 = 313,266.60 : x
  2. Step 2: Convert to fraction form
    553,399.20/830,098.80 = 313,266.60/x
  3. Step 3: Cross multiply
    553,399.20x = 830,098.80 × 313,266.60
  4. Step 4: Simplify right side
    553,399.20x = 260,042,228,740.08
  5. Step 5: Solve for x
    x = 260,042,228,740.08/553,399.20
  6. Step 6: Final answer
    x = 469,899.90

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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.