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Finding the Fourth Proportional to 272,913, 408,916.93 and 165,973.49

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Solution

The fourth proportional to 272,913, 408,916.93 and 165,973.49 is: 248,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,913 : 408,916.93 = 165,973.49 : x
  2. Step 2: Convert to fraction form
    272,913/408,916.93 = 165,973.49/x
  3. Step 3: Cross multiply
    272,913x = 408,916.93 × 165,973.49
  4. Step 4: Simplify right side
    272,913x = 67,869,369,992.19
  5. Step 5: Solve for x
    x = 67,869,369,992.19/272,913
  6. Step 6: Final answer
    x = 248,685.00

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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.