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Finding the Fourth Proportional to 319,464.30, 479,196 and 82,807.21

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Solution

The fourth proportional to 319,464.30, 479,196 and 82,807.21 is: 124,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,464.30 : 479,196 = 82,807.21 : x
  2. Step 2: Convert to fraction form
    319,464.30/479,196 = 82,807.21/x
  3. Step 3: Cross multiply
    319,464.30x = 479,196 × 82,807.21
  4. Step 4: Simplify right side
    319,464.30x = 39,680,884,402.16
  5. Step 5: Solve for x
    x = 39,680,884,402.16/319,464.30
  6. Step 6: Final answer
    x = 124,210.70

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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.