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Finding the Fourth Proportional to 284,872,400.80, 427,308,601.20 and 265,762,103.20

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Solution

The fourth proportional to 284,872,400.80, 427,308,601.20 and 265,762,103.20 is: 398,643,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,872,400.80 : 427,308,601.20 = 265,762,103.20 : x
  2. Step 2: Convert to fraction form
    284,872,400.80/427,308,601.20 = 265,762,103.20/x
  3. Step 3: Cross multiply
    284,872,400.80x = 427,308,601.20 × 265,762,103.20
  4. Step 4: Simplify right side
    284,872,400.80x = 113,562,432,570,362,032
  5. Step 5: Solve for x
    x = 113,562,432,570,362,032/284,872,400.80
  6. Step 6: Final answer
    x = 398,643,154.80

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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.