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Finding the Fourth Proportional to 315,196.16, 434,962.08 and 171,956.16

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Solution

The fourth proportional to 315,196.16, 434,962.08 and 171,956.16 is: 237,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,196.16 : 434,962.08 = 171,956.16 : x
  2. Step 2: Convert to fraction form
    315,196.16/434,962.08 = 171,956.16/x
  3. Step 3: Cross multiply
    315,196.16x = 434,962.08 × 171,956.16
  4. Step 4: Simplify right side
    315,196.16x = 74,794,409,022.41
  5. Step 5: Solve for x
    x = 74,794,409,022.41/315,196.16
  6. Step 6: Final answer
    x = 237,294.80

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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.