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Finding the Fourth Proportional to 553,456.80, 830,185.20 and 382,214.70

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Solution

The fourth proportional to 553,456.80, 830,185.20 and 382,214.70 is: 573,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,456.80 : 830,185.20 = 382,214.70 : x
  2. Step 2: Convert to fraction form
    553,456.80/830,185.20 = 382,214.70/x
  3. Step 3: Cross multiply
    553,456.80x = 830,185.20 × 382,214.70
  4. Step 4: Simplify right side
    553,456.80x = 317,308,987,162.44
  5. Step 5: Solve for x
    x = 317,308,987,162.44/553,456.80
  6. Step 6: Final answer
    x = 573,322.05

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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.