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Finding the Fourth Proportional to 319,360, 479,038.08 and 82,702.08

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Solution

The fourth proportional to 319,360, 479,038.08 and 82,702.08 is: 124,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,360 : 479,038.08 = 82,702.08 : x
  2. Step 2: Convert to fraction form
    319,360/479,038.08 = 82,702.08/x
  3. Step 3: Cross multiply
    319,360x = 479,038.08 × 82,702.08
  4. Step 4: Simplify right side
    319,360x = 39,617,445,615.21
  5. Step 5: Solve for x
    x = 39,617,445,615.21/319,360
  6. Step 6: Final answer
    x = 124,052.62

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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.