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Finding the Fourth Proportional to 406,064.90, 560,419.64 and 231,678.03

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Solution

The fourth proportional to 406,064.90, 560,419.64 and 231,678.03 is: 319,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,064.90 : 560,419.64 = 231,678.03 : x
  2. Step 2: Convert to fraction form
    406,064.90/560,419.64 = 231,678.03/x
  3. Step 3: Cross multiply
    406,064.90x = 560,419.64 × 231,678.03
  4. Step 4: Simplify right side
    406,064.90x = 129,836,917,752.71
  5. Step 5: Solve for x
    x = 129,836,917,752.71/406,064.90
  6. Step 6: Final answer
    x = 319,744.25

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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.