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Finding the Fourth Proportional to 287,848.38, 431,668.89 and 121,649.34

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Solution

The fourth proportional to 287,848.38, 431,668.89 and 121,649.34 is: 182,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,848.38 : 431,668.89 = 121,649.34 : x
  2. Step 2: Convert to fraction form
    287,848.38/431,668.89 = 121,649.34/x
  3. Step 3: Cross multiply
    287,848.38x = 431,668.89 × 121,649.34
  4. Step 4: Simplify right side
    287,848.38x = 52,512,235,567.03
  5. Step 5: Solve for x
    x = 52,512,235,567.03/287,848.38
  6. Step 6: Final answer
    x = 182,430.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.