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Finding the Fourth Proportional to 413,674.80, 620,565.12 and 147,462.20

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Solution

The fourth proportional to 413,674.80, 620,565.12 and 147,462.20 is: 221,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,674.80 : 620,565.12 = 147,462.20 : x
  2. Step 2: Convert to fraction form
    413,674.80/620,565.12 = 147,462.20/x
  3. Step 3: Cross multiply
    413,674.80x = 620,565.12 × 147,462.20
  4. Step 4: Simplify right side
    413,674.80x = 91,509,897,838.46
  5. Step 5: Solve for x
    x = 91,509,897,838.46/413,674.80
  6. Step 6: Final answer
    x = 221,212.16

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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.