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Finding the Fourth Proportional to 586,500, 809,374.32 and 318,228

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Solution

The fourth proportional to 586,500, 809,374.32 and 318,228 is: 439,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,500 : 809,374.32 = 318,228 : x
  2. Step 2: Convert to fraction form
    586,500/809,374.32 = 318,228/x
  3. Step 3: Cross multiply
    586,500x = 809,374.32 × 318,228
  4. Step 4: Simplify right side
    586,500x = 257,565,571,104.96
  5. Step 5: Solve for x
    x = 257,565,571,104.96/586,500
  6. Step 6: Final answer
    x = 439,156.98

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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.