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Finding the Fourth Proportional to 521,605,611.60, 782,408,417.40 and 513,952,861.20

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Solution

The fourth proportional to 521,605,611.60, 782,408,417.40 and 513,952,861.20 is: 770,929,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,605,611.60 : 782,408,417.40 = 513,952,861.20 : x
  2. Step 2: Convert to fraction form
    521,605,611.60/782,408,417.40 = 513,952,861.20/x
  3. Step 3: Cross multiply
    521,605,611.60x = 782,408,417.40 × 513,952,861.20
  4. Step 4: Simplify right side
    521,605,611.60x = 402,121,044,749,693,824
  5. Step 5: Solve for x
    x = 402,121,044,749,693,824/521,605,611.60
  6. Step 6: Final answer
    x = 770,929,291.80

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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.