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Finding the Fourth Proportional to 315,293.60, 471,915.92 and 172,779.76

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Solution

The fourth proportional to 315,293.60, 471,915.92 and 172,779.76 is: 258,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,293.60 : 471,915.92 = 172,779.76 : x
  2. Step 2: Convert to fraction form
    315,293.60/471,915.92 = 172,779.76/x
  3. Step 3: Cross multiply
    315,293.60x = 471,915.92 × 172,779.76
  4. Step 4: Simplify right side
    315,293.60x = 81,537,519,397.78
  5. Step 5: Solve for x
    x = 81,537,519,397.78/315,293.60
  6. Step 6: Final answer
    x = 258,608.23

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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.