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Finding the Fourth Proportional to 314,784.51, 434,402.70 and 171,544.59

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Solution

The fourth proportional to 314,784.51, 434,402.70 and 171,544.59 is: 236,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.51 : 434,402.70 = 171,544.59 : x
  2. Step 2: Convert to fraction form
    314,784.51/434,402.70 = 171,544.59/x
  3. Step 3: Cross multiply
    314,784.51x = 434,402.70 × 171,544.59
  4. Step 4: Simplify right side
    314,784.51x = 74,519,433,066.39
  5. Step 5: Solve for x
    x = 74,519,433,066.39/314,784.51
  6. Step 6: Final answer
    x = 236,731.58

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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.