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Finding the Fourth Proportional to 243,257.76, 364,955.76 and 171,511.20

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Solution

The fourth proportional to 243,257.76, 364,955.76 and 171,511.20 is: 257,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,257.76 : 364,955.76 = 171,511.20 : x
  2. Step 2: Convert to fraction form
    243,257.76/364,955.76 = 171,511.20/x
  3. Step 3: Cross multiply
    243,257.76x = 364,955.76 × 171,511.20
  4. Step 4: Simplify right side
    243,257.76x = 62,594,000,344.51
  5. Step 5: Solve for x
    x = 62,594,000,344.51/243,257.76
  6. Step 6: Final answer
    x = 257,315.53

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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.