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Finding the Fourth Proportional to 385,426.82, 577,807.99 and 148,935.44

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Solution

The fourth proportional to 385,426.82, 577,807.99 and 148,935.44 is: 223,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,426.82 : 577,807.99 = 148,935.44 : x
  2. Step 2: Convert to fraction form
    385,426.82/577,807.99 = 148,935.44/x
  3. Step 3: Cross multiply
    385,426.82x = 577,807.99 × 148,935.44
  4. Step 4: Simplify right side
    385,426.82x = 86,056,087,226.17
  5. Step 5: Solve for x
    x = 86,056,087,226.17/385,426.82
  6. Step 6: Final answer
    x = 223,274.78

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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.