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Finding the Fourth Proportional to 315,848.16, 435,863.16 and 172,612.08

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Solution

The fourth proportional to 315,848.16, 435,863.16 and 172,612.08 is: 238,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,848.16 : 435,863.16 = 172,612.08 : x
  2. Step 2: Convert to fraction form
    315,848.16/435,863.16 = 172,612.08/x
  3. Step 3: Cross multiply
    315,848.16x = 435,863.16 × 172,612.08
  4. Step 4: Simplify right side
    315,848.16x = 75,235,246,642.97
  5. Step 5: Solve for x
    x = 75,235,246,642.97/315,848.16
  6. Step 6: Final answer
    x = 238,200.68

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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.