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Finding the Fourth Proportional to 315,687.96, 435,633.14 and 172,420.32

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Solution

The fourth proportional to 315,687.96, 435,633.14 and 172,420.32 is: 237,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,687.96 : 435,633.14 = 172,420.32 : x
  2. Step 2: Convert to fraction form
    315,687.96/435,633.14 = 172,420.32/x
  3. Step 3: Cross multiply
    315,687.96x = 435,633.14 × 172,420.32
  4. Step 4: Simplify right side
    315,687.96x = 75,112,005,832.46
  5. Step 5: Solve for x
    x = 75,112,005,832.46/315,687.96
  6. Step 6: Final answer
    x = 237,931.17

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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.