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Finding the Fourth Proportional to 315,741.96, 435,718.44 and 172,498.32

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Solution

The fourth proportional to 315,741.96, 435,718.44 and 172,498.32 is: 238,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,741.96 : 435,718.44 = 172,498.32 : x
  2. Step 2: Convert to fraction form
    315,741.96/435,718.44 = 172,498.32/x
  3. Step 3: Cross multiply
    315,741.96x = 435,718.44 × 172,498.32
  4. Step 4: Simplify right side
    315,741.96x = 75,160,698,893.02
  5. Step 5: Solve for x
    x = 75,160,698,893.02/315,741.96
  6. Step 6: Final answer
    x = 238,044.70

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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.