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Finding the Fourth Proportional to 282,743,205.60, 424,114,808.40 and 210,183,794.40

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Solution

The fourth proportional to 282,743,205.60, 424,114,808.40 and 210,183,794.40 is: 315,275,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,743,205.60 : 424,114,808.40 = 210,183,794.40 : x
  2. Step 2: Convert to fraction form
    282,743,205.60/424,114,808.40 = 210,183,794.40/x
  3. Step 3: Cross multiply
    282,743,205.60x = 424,114,808.40 × 210,183,794.40
  4. Step 4: Simplify right side
    282,743,205.60x = 89,142,059,690,740,992
  5. Step 5: Solve for x
    x = 89,142,059,690,740,992/282,743,205.60
  6. Step 6: Final answer
    x = 315,275,691.60

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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.