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Finding the Fourth Proportional to 413,923,681.20, 620,885,521.80 and 380,480,660.40

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Solution

The fourth proportional to 413,923,681.20, 620,885,521.80 and 380,480,660.40 is: 570,720,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,923,681.20 : 620,885,521.80 = 380,480,660.40 : x
  2. Step 2: Convert to fraction form
    413,923,681.20/620,885,521.80 = 380,480,660.40/x
  3. Step 3: Cross multiply
    413,923,681.20x = 620,885,521.80 × 380,480,660.40
  4. Step 4: Simplify right side
    413,923,681.20x = 236,234,933,367,262,560
  5. Step 5: Solve for x
    x = 236,234,933,367,262,560/413,923,681.20
  6. Step 6: Final answer
    x = 570,720,990.60

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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.