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Finding the Fourth Proportional to 907,645,861.20, 1,361,468,791.80 and 778,505,698.20

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Solution

The fourth proportional to 907,645,861.20, 1,361,468,791.80 and 778,505,698.20 is: 1,167,758,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,645,861.20 : 1,361,468,791.80 = 778,505,698.20 : x
  2. Step 2: Convert to fraction form
    907,645,861.20/1,361,468,791.80 = 778,505,698.20/x
  3. Step 3: Cross multiply
    907,645,861.20x = 1,361,468,791.80 × 778,505,698.20
  4. Step 4: Simplify right side
    907,645,861.20x = 1,059,911,212,337,769,472
  5. Step 5: Solve for x
    x = 1,059,911,212,337,769,472/907,645,861.20
  6. Step 6: Final answer
    x = 1,167,758,547.30

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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.