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Finding the Fourth Proportional to 315,777.16, 435,767.46 and 172,534.12

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Solution

The fourth proportional to 315,777.16, 435,767.46 and 172,534.12 is: 238,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,777.16 : 435,767.46 = 172,534.12 : x
  2. Step 2: Convert to fraction form
    315,777.16/435,767.46 = 172,534.12/x
  3. Step 3: Cross multiply
    315,777.16x = 435,767.46 × 172,534.12
  4. Step 4: Simplify right side
    315,777.16x = 75,184,755,235.74
  5. Step 5: Solve for x
    x = 75,184,755,235.74/315,777.16
  6. Step 6: Final answer
    x = 238,094.34

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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.