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Finding the Fourth Proportional to 586,603.50, 809,512.86 and 318,331.50

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Solution

The fourth proportional to 586,603.50, 809,512.86 and 318,331.50 is: 439,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,603.50 : 809,512.86 = 318,331.50 : x
  2. Step 2: Convert to fraction form
    586,603.50/809,512.86 = 318,331.50/x
  3. Step 3: Cross multiply
    586,603.50x = 809,512.86 × 318,331.50
  4. Step 4: Simplify right side
    586,603.50x = 257,693,442,993.09
  5. Step 5: Solve for x
    x = 257,693,442,993.09/586,603.50
  6. Step 6: Final answer
    x = 439,297.49

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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.