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Finding the Fourth Proportional to 515,726.84, 773,415.08 and 178,688.83

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Solution

The fourth proportional to 515,726.84, 773,415.08 and 178,688.83 is: 267,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,726.84 : 773,415.08 = 178,688.83 : x
  2. Step 2: Convert to fraction form
    515,726.84/773,415.08 = 178,688.83/x
  3. Step 3: Cross multiply
    515,726.84x = 773,415.08 × 178,688.83
  4. Step 4: Simplify right side
    515,726.84x = 138,200,634,856.11
  5. Step 5: Solve for x
    x = 138,200,634,856.11/515,726.84
  6. Step 6: Final answer
    x = 267,972.55

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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.