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Finding the Fourth Proportional to 312,840.54, 431,742.08 and 176,875.82

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Solution

The fourth proportional to 312,840.54, 431,742.08 and 176,875.82 is: 244,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,840.54 : 431,742.08 = 176,875.82 : x
  2. Step 2: Convert to fraction form
    312,840.54/431,742.08 = 176,875.82/x
  3. Step 3: Cross multiply
    312,840.54x = 431,742.08 × 176,875.82
  4. Step 4: Simplify right side
    312,840.54x = 76,364,731,385.42
  5. Step 5: Solve for x
    x = 76,364,731,385.42/312,840.54
  6. Step 6: Final answer
    x = 244,101.14

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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.