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Finding the Fourth Proportional to 314,661.59, 434,237.70 and 171,421.59

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Solution

The fourth proportional to 314,661.59, 434,237.70 and 171,421.59 is: 236,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,661.59 : 434,237.70 = 171,421.59 : x
  2. Step 2: Convert to fraction form
    314,661.59/434,237.70 = 171,421.59/x
  3. Step 3: Cross multiply
    314,661.59x = 434,237.70 × 171,421.59
  4. Step 4: Simplify right side
    314,661.59x = 74,437,716,971.94
  5. Step 5: Solve for x
    x = 74,437,716,971.94/314,661.59
  6. Step 6: Final answer
    x = 236,564.36

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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.