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Finding the Fourth Proportional to 617,645,999.20, 926,468,998.80 and 208,696,244.80

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Solution

The fourth proportional to 617,645,999.20, 926,468,998.80 and 208,696,244.80 is: 313,044,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,645,999.20 : 926,468,998.80 = 208,696,244.80 : x
  2. Step 2: Convert to fraction form
    617,645,999.20/926,468,998.80 = 208,696,244.80/x
  3. Step 3: Cross multiply
    617,645,999.20x = 926,468,998.80 × 208,696,244.80
  4. Step 4: Simplify right side
    617,645,999.20x = 193,350,600,973,175,712
  5. Step 5: Solve for x
    x = 193,350,600,973,175,712/617,645,999.20
  6. Step 6: Final answer
    x = 313,044,367.20

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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.