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Finding the Fourth Proportional to 586,590.48, 809,494.85 and 318,318.48

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Solution

The fourth proportional to 586,590.48, 809,494.85 and 318,318.48 is: 439,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,590.48 : 809,494.85 = 318,318.48 : x
  2. Step 2: Convert to fraction form
    586,590.48/809,494.85 = 318,318.48/x
  3. Step 3: Cross multiply
    586,590.48x = 809,494.85 × 318,318.48
  4. Step 4: Simplify right side
    586,590.48x = 257,677,171,015.62
  5. Step 5: Solve for x
    x = 257,677,171,015.62/586,590.48
  6. Step 6: Final answer
    x = 439,279.50

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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.