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Finding the Fourth Proportional to 658,952,318.48, 909,780,176.08 and 408,322,662.80

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Solution

The fourth proportional to 658,952,318.48, 909,780,176.08 and 408,322,662.80 is: 563,749,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,952,318.48 : 909,780,176.08 = 408,322,662.80 : x
  2. Step 2: Convert to fraction form
    658,952,318.48/909,780,176.08 = 408,322,662.80/x
  3. Step 3: Cross multiply
    658,952,318.48x = 909,780,176.08 × 408,322,662.80
  4. Step 4: Simplify right side
    658,952,318.48x = 371,483,864,059,638,464
  5. Step 5: Solve for x
    x = 371,483,864,059,638,464/658,952,318.48
  6. Step 6: Final answer
    x = 563,749,232.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.