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Finding the Fourth Proportional to 1,312,751,578.60, 1,969,425,966.30 and 767,212,301.80

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Solution

The fourth proportional to 1,312,751,578.60, 1,969,425,966.30 and 767,212,301.80 is: 1,150,992,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,751,578.60 : 1,969,425,966.30 = 767,212,301.80 : x
  2. Step 2: Convert to fraction form
    1,312,751,578.60/1,969,425,966.30 = 767,212,301.80/x
  3. Step 3: Cross multiply
    1,312,751,578.60x = 1,969,425,966.30 × 767,212,301.80
  4. Step 4: Simplify right side
    1,312,751,578.60x = 1,510,967,828,829,712,128
  5. Step 5: Solve for x
    x = 1,510,967,828,829,712,128/1,312,751,578.60
  6. Step 6: Final answer
    x = 1,150,992,962.77

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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.