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Finding the Fourth Proportional to 671,778, 1,007,670.65 and 173,142

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Solution

The fourth proportional to 671,778, 1,007,670.65 and 173,142 is: 259,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,778 : 1,007,670.65 = 173,142 : x
  2. Step 2: Convert to fraction form
    671,778/1,007,670.65 = 173,142/x
  3. Step 3: Cross multiply
    671,778x = 1,007,670.65 × 173,142
  4. Step 4: Simplify right side
    671,778x = 174,470,110,816.59
  5. Step 5: Solve for x
    x = 174,470,110,816.59/671,778
  6. Step 6: Final answer
    x = 259,713.94

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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.