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Finding the Fourth Proportional to 413,519.70, 620,352.45 and 147,434.70

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Solution

The fourth proportional to 413,519.70, 620,352.45 and 147,434.70 is: 221,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,519.70 : 620,352.45 = 147,434.70 : x
  2. Step 2: Convert to fraction form
    413,519.70/620,352.45 = 147,434.70/x
  3. Step 3: Cross multiply
    413,519.70x = 620,352.45 × 147,434.70
  4. Step 4: Simplify right side
    413,519.70x = 91,461,477,360.02
  5. Step 5: Solve for x
    x = 91,461,477,360.02/413,519.70
  6. Step 6: Final answer
    x = 221,178.04

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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.