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Finding the Fourth Proportional to 413,569.67, 620,015.51 and 147,178.49

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Solution

The fourth proportional to 413,569.67, 620,015.51 and 147,178.49 is: 220,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,569.67 : 620,015.51 = 147,178.49 : x
  2. Step 2: Convert to fraction form
    413,569.67/620,015.51 = 147,178.49/x
  3. Step 3: Cross multiply
    413,569.67x = 620,015.51 × 147,178.49
  4. Step 4: Simplify right side
    413,569.67x = 91,252,946,538.38
  5. Step 5: Solve for x
    x = 91,252,946,538.38/413,569.67
  6. Step 6: Final answer
    x = 220,647.10

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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.