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Finding the Fourth Proportional to 1,310,759,091.78, 1,966,155,675.98 and 437,360,460.13

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Solution

The fourth proportional to 1,310,759,091.78, 1,966,155,675.98 and 437,360,460.13 is: 656,046,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,759,091.78 : 1,966,155,675.98 = 437,360,460.13 : x
  2. Step 2: Convert to fraction form
    1,310,759,091.78/1,966,155,675.98 = 437,360,460.13/x
  3. Step 3: Cross multiply
    1,310,759,091.78x = 1,966,155,675.98 × 437,360,460.13
  4. Step 4: Simplify right side
    1,310,759,091.78x = 859,918,751,133,824,000
  5. Step 5: Solve for x
    x = 859,918,751,133,824,000/1,310,759,091.78
  6. Step 6: Final answer
    x = 656,046,375.36

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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.