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Finding the Fourth Proportional to 586,536, 809,419.68 and 318,264

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Solution

The fourth proportional to 586,536, 809,419.68 and 318,264 is: 439,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,536 : 809,419.68 = 318,264 : x
  2. Step 2: Convert to fraction form
    586,536/809,419.68 = 318,264/x
  3. Step 3: Cross multiply
    586,536x = 809,419.68 × 318,264
  4. Step 4: Simplify right side
    586,536x = 257,609,145,035.52
  5. Step 5: Solve for x
    x = 257,609,145,035.52/586,536
  6. Step 6: Final answer
    x = 439,204.32

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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.