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Finding the Fourth Proportional to 384,666.30, 576,513.45 and 147,692.70

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Solution

The fourth proportional to 384,666.30, 576,513.45 and 147,692.70 is: 221,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,666.30 : 576,513.45 = 147,692.70 : x
  2. Step 2: Convert to fraction form
    384,666.30/576,513.45 = 147,692.70/x
  3. Step 3: Cross multiply
    384,666.30x = 576,513.45 × 147,692.70
  4. Step 4: Simplify right side
    384,666.30x = 85,146,828,016.82
  5. Step 5: Solve for x
    x = 85,146,828,016.82/384,666.30
  6. Step 6: Final answer
    x = 221,352.45

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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.