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Finding the Fourth Proportional to 399,424,593.60, 599,136,890.40 and 194,847,364.80

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Solution

The fourth proportional to 399,424,593.60, 599,136,890.40 and 194,847,364.80 is: 292,271,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,424,593.60 : 599,136,890.40 = 194,847,364.80 : x
  2. Step 2: Convert to fraction form
    399,424,593.60/599,136,890.40 = 194,847,364.80/x
  3. Step 3: Cross multiply
    399,424,593.60x = 599,136,890.40 × 194,847,364.80
  4. Step 4: Simplify right side
    399,424,593.60x = 116,740,244,248,906,416
  5. Step 5: Solve for x
    x = 116,740,244,248,906,416/399,424,593.60
  6. Step 6: Final answer
    x = 292,271,047.20

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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.