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Finding the Fourth Proportional to 869,200.80, 1,303,412.40 and 395,642.40

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Solution

The fourth proportional to 869,200.80, 1,303,412.40 and 395,642.40 is: 593,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,200.80 : 1,303,412.40 = 395,642.40 : x
  2. Step 2: Convert to fraction form
    869,200.80/1,303,412.40 = 395,642.40/x
  3. Step 3: Cross multiply
    869,200.80x = 1,303,412.40 × 395,642.40
  4. Step 4: Simplify right side
    869,200.80x = 515,685,210,125.76
  5. Step 5: Solve for x
    x = 515,685,210,125.76/869,200.80
  6. Step 6: Final answer
    x = 593,286.63

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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.