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Finding the Fourth Proportional to 314,655.32, 434,221.80 and 171,415.28

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Solution

The fourth proportional to 314,655.32, 434,221.80 and 171,415.28 is: 236,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,655.32 : 434,221.80 = 171,415.28 : x
  2. Step 2: Convert to fraction form
    314,655.32/434,221.80 = 171,415.28/x
  3. Step 3: Cross multiply
    314,655.32x = 434,221.80 × 171,415.28
  4. Step 4: Simplify right side
    314,655.32x = 74,432,251,429.10
  5. Step 5: Solve for x
    x = 74,432,251,429.10/314,655.32
  6. Step 6: Final answer
    x = 236,551.70

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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.