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Finding the Fourth Proportional to 307,178.64, 423,677.52 and 272,764.98

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Solution

The fourth proportional to 307,178.64, 423,677.52 and 272,764.98 is: 376,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,178.64 : 423,677.52 = 272,764.98 : x
  2. Step 2: Convert to fraction form
    307,178.64/423,677.52 = 272,764.98/x
  3. Step 3: Cross multiply
    307,178.64x = 423,677.52 × 272,764.98
  4. Step 4: Simplify right side
    307,178.64x = 115,564,390,269.25
  5. Step 5: Solve for x
    x = 115,564,390,269.25/307,178.64
  6. Step 6: Final answer
    x = 376,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.