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Finding the Fourth Proportional to 285,615.42, 427,897.65 and 178,979.51

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Solution

The fourth proportional to 285,615.42, 427,897.65 and 178,979.51 is: 268,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,615.42 : 427,897.65 = 178,979.51 : x
  2. Step 2: Convert to fraction form
    285,615.42/427,897.65 = 178,979.51/x
  3. Step 3: Cross multiply
    285,615.42x = 427,897.65 × 178,979.51
  4. Step 4: Simplify right side
    285,615.42x = 76,584,909,587.66
  5. Step 5: Solve for x
    x = 76,584,909,587.66/285,615.42
  6. Step 6: Final answer
    x = 268,139.97

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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.