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Finding the Fourth Proportional to 586,353.26, 809,830.50 and 395,034.50

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Solution

The fourth proportional to 586,353.26, 809,830.50 and 395,034.50 is: 545,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,353.26 : 809,830.50 = 395,034.50 : x
  2. Step 2: Convert to fraction form
    586,353.26/809,830.50 = 395,034.50/x
  3. Step 3: Cross multiply
    586,353.26x = 809,830.50 × 395,034.50
  4. Step 4: Simplify right side
    586,353.26x = 319,910,986,652.25
  5. Step 5: Solve for x
    x = 319,910,986,652.25/586,353.26
  6. Step 6: Final answer
    x = 545,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.