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Finding the Fourth Proportional to 586,545, 809,432.64 and 318,273

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Solution

The fourth proportional to 586,545, 809,432.64 and 318,273 is: 439,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,545 : 809,432.64 = 318,273 : x
  2. Step 2: Convert to fraction form
    586,545/809,432.64 = 318,273/x
  3. Step 3: Cross multiply
    586,545x = 809,432.64 × 318,273
  4. Step 4: Simplify right side
    586,545x = 257,620,554,630.72
  5. Step 5: Solve for x
    x = 257,620,554,630.72/586,545
  6. Step 6: Final answer
    x = 439,217.03

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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.