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Finding the Fourth Proportional to 565,488.75, 780,374.48 and 323,851.27

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Solution

The fourth proportional to 565,488.75, 780,374.48 and 323,851.27 is: 446,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488.75 : 780,374.48 = 323,851.27 : x
  2. Step 2: Convert to fraction form
    565,488.75/780,374.48 = 323,851.27/x
  3. Step 3: Cross multiply
    565,488.75x = 780,374.48 × 323,851.27
  4. Step 4: Simplify right side
    565,488.75x = 252,725,265,779.80
  5. Step 5: Solve for x
    x = 252,725,265,779.80/565,488.75
  6. Step 6: Final answer
    x = 446,914.75

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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.