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Finding the Fourth Proportional to 306,536.64, 459,804.32 and 84,920

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Solution

The fourth proportional to 306,536.64, 459,804.32 and 84,920 is: 127,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,536.64 : 459,804.32 = 84,920 : x
  2. Step 2: Convert to fraction form
    306,536.64/459,804.32 = 84,920/x
  3. Step 3: Cross multiply
    306,536.64x = 459,804.32 × 84,920
  4. Step 4: Simplify right side
    306,536.64x = 39,046,582,854.40
  5. Step 5: Solve for x
    x = 39,046,582,854.40/306,536.64
  6. Step 6: Final answer
    x = 127,379.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.