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Finding the Fourth Proportional to 658,489,832.40, 987,734,748.60 and 413,601,819.60

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Solution

The fourth proportional to 658,489,832.40, 987,734,748.60 and 413,601,819.60 is: 620,402,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,489,832.40 : 987,734,748.60 = 413,601,819.60 : x
  2. Step 2: Convert to fraction form
    658,489,832.40/987,734,748.60 = 413,601,819.60/x
  3. Step 3: Cross multiply
    658,489,832.40x = 987,734,748.60 × 413,601,819.60
  4. Step 4: Simplify right side
    658,489,832.40x = 408,528,889,303,108,608
  5. Step 5: Solve for x
    x = 408,528,889,303,108,608/658,489,832.40
  6. Step 6: Final answer
    x = 620,402,729.40

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1.5x scale

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.