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Finding the Fourth Proportional to 586,705.32, 809,653.86 and 318,433.32

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Solution

The fourth proportional to 586,705.32, 809,653.86 and 318,433.32 is: 439,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,705.32 : 809,653.86 = 318,433.32 : x
  2. Step 2: Convert to fraction form
    586,705.32/809,653.86 = 318,433.32/x
  3. Step 3: Cross multiply
    586,705.32x = 809,653.86 × 318,433.32
  4. Step 4: Simplify right side
    586,705.32x = 257,820,766,690.62
  5. Step 5: Solve for x
    x = 257,820,766,690.62/586,705.32
  6. Step 6: Final answer
    x = 439,438.26

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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.