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Finding the Fourth Proportional to 586,524, 809,403.12 and 318,252

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Solution

The fourth proportional to 586,524, 809,403.12 and 318,252 is: 439,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,524 : 809,403.12 = 318,252 : x
  2. Step 2: Convert to fraction form
    586,524/809,403.12 = 318,252/x
  3. Step 3: Cross multiply
    586,524x = 809,403.12 × 318,252
  4. Step 4: Simplify right side
    586,524x = 257,594,161,746.24
  5. Step 5: Solve for x
    x = 257,594,161,746.24/586,524
  6. Step 6: Final answer
    x = 439,187.76

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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.