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Finding the Fourth Proportional to 565,488.88, 780,374.65 and 323,851.40

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Solution

The fourth proportional to 565,488.88, 780,374.65 and 323,851.40 is: 446,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488.88 : 780,374.65 = 323,851.40 : x
  2. Step 2: Convert to fraction form
    565,488.88/780,374.65 = 323,851.40/x
  3. Step 3: Cross multiply
    565,488.88x = 780,374.65 × 323,851.40
  4. Step 4: Simplify right side
    565,488.88x = 252,725,419,025.14
  5. Step 5: Solve for x
    x = 252,725,419,025.14/565,488.88
  6. Step 6: Final answer
    x = 446,914.93

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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.