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Finding the Fourth Proportional to 314,753.42, 434,346.12 and 178,786.94

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Solution

The fourth proportional to 314,753.42, 434,346.12 and 178,786.94 is: 246,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,753.42 : 434,346.12 = 178,786.94 : x
  2. Step 2: Convert to fraction form
    314,753.42/434,346.12 = 178,786.94/x
  3. Step 3: Cross multiply
    314,753.42x = 434,346.12 × 178,786.94
  4. Step 4: Simplify right side
    314,753.42x = 77,655,413,695.67
  5. Step 5: Solve for x
    x = 77,655,413,695.67/314,753.42
  6. Step 6: Final answer
    x = 246,718.25

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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.