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Finding the Fourth Proportional to 284,718,593.60, 427,077,890.40 and 193,347,483.20

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Solution

The fourth proportional to 284,718,593.60, 427,077,890.40 and 193,347,483.20 is: 290,021,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,718,593.60 : 427,077,890.40 = 193,347,483.20 : x
  2. Step 2: Convert to fraction form
    284,718,593.60/427,077,890.40 = 193,347,483.20/x
  3. Step 3: Cross multiply
    284,718,593.60x = 427,077,890.40 × 193,347,483.20
  4. Step 4: Simplify right side
    284,718,593.60x = 82,574,435,239,205,424
  5. Step 5: Solve for x
    x = 82,574,435,239,205,424/284,718,593.60
  6. Step 6: Final answer
    x = 290,021,224.80

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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.