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Finding the Fourth Proportional to 586,597.50, 809,504.55 and 318,325.50

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Solution

The fourth proportional to 586,597.50, 809,504.55 and 318,325.50 is: 439,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,597.50 : 809,504.55 = 318,325.50 : x
  2. Step 2: Convert to fraction form
    586,597.50/809,504.55 = 318,325.50/x
  3. Step 3: Cross multiply
    586,597.50x = 809,504.55 × 318,325.50
  4. Step 4: Simplify right side
    586,597.50x = 257,685,940,631.03
  5. Step 5: Solve for x
    x = 257,685,940,631.03/586,597.50
  6. Step 6: Final answer
    x = 439,289.19

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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.