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Finding the Fourth Proportional to 315,776.16, 435,766.08 and 172,533.12

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Solution

The fourth proportional to 315,776.16, 435,766.08 and 172,533.12 is: 238,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,776.16 : 435,766.08 = 172,533.12 : x
  2. Step 2: Convert to fraction form
    315,776.16/435,766.08 = 172,533.12/x
  3. Step 3: Cross multiply
    315,776.16x = 435,766.08 × 172,533.12
  4. Step 4: Simplify right side
    315,776.16x = 75,184,081,372.57
  5. Step 5: Solve for x
    x = 75,184,081,372.57/315,776.16
  6. Step 6: Final answer
    x = 238,092.96

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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.