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Finding the Fourth Proportional to 314,726.82, 434,326.20 and 171,489.24

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Solution

The fourth proportional to 314,726.82, 434,326.20 and 171,489.24 is: 236,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.82 : 434,326.20 = 171,489.24 : x
  2. Step 2: Convert to fraction form
    314,726.82/434,326.20 = 171,489.24/x
  3. Step 3: Cross multiply
    314,726.82x = 434,326.20 × 171,489.24
  4. Step 4: Simplify right side
    314,726.82x = 74,482,269,950.09
  5. Step 5: Solve for x
    x = 74,482,269,950.09/314,726.82
  6. Step 6: Final answer
    x = 236,656.89

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1.5x scale

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.