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Finding the Fourth Proportional to 413,424,063.60, 620,136,095.40 and 355,981,196.40

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Solution

The fourth proportional to 413,424,063.60, 620,136,095.40 and 355,981,196.40 is: 533,971,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,424,063.60 : 620,136,095.40 = 355,981,196.40 : x
  2. Step 2: Convert to fraction form
    413,424,063.60/620,136,095.40 = 355,981,196.40/x
  3. Step 3: Cross multiply
    413,424,063.60x = 620,136,095.40 × 355,981,196.40
  4. Step 4: Simplify right side
    413,424,063.60x = 220,756,789,171,316,512
  5. Step 5: Solve for x
    x = 220,756,789,171,316,512/413,424,063.60
  6. Step 6: Final answer
    x = 533,971,794.60

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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.