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Finding the Fourth Proportional to 609,709,407.20, 914,564,110.80 and 200,712,413.60

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Solution

The fourth proportional to 609,709,407.20, 914,564,110.80 and 200,712,413.60 is: 301,068,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,709,407.20 : 914,564,110.80 = 200,712,413.60 : x
  2. Step 2: Convert to fraction form
    609,709,407.20/914,564,110.80 = 200,712,413.60/x
  3. Step 3: Cross multiply
    609,709,407.20x = 914,564,110.80 × 200,712,413.60
  4. Step 4: Simplify right side
    609,709,407.20x = 183,564,370,070,605,824
  5. Step 5: Solve for x
    x = 183,564,370,070,605,824/609,709,407.20
  6. Step 6: Final answer
    x = 301,068,620.40

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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.