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Finding the Fourth Proportional to 586,616.50, 809,530.80 and 318,344.50

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Solution

The fourth proportional to 586,616.50, 809,530.80 and 318,344.50 is: 439,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,616.50 : 809,530.80 = 318,344.50 : x
  2. Step 2: Convert to fraction form
    586,616.50/809,530.80 = 318,344.50/x
  3. Step 3: Cross multiply
    586,616.50x = 809,530.80 × 318,344.50
  4. Step 4: Simplify right side
    586,616.50x = 257,709,677,760.60
  5. Step 5: Solve for x
    x = 257,709,677,760.60/586,616.50
  6. Step 6: Final answer
    x = 439,315.43

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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.