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Finding the Fourth Proportional to 1,264,978,400.94, 1,745,574,881.31 and 769,886,390.70

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Solution

The fourth proportional to 1,264,978,400.94, 1,745,574,881.31 and 769,886,390.70 is: 1,062,385,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,978,400.94 : 1,745,574,881.31 = 769,886,390.70 : x
  2. Step 2: Convert to fraction form
    1,264,978,400.94/1,745,574,881.31 = 769,886,390.70/x
  3. Step 3: Cross multiply
    1,264,978,400.94x = 1,745,574,881.31 × 769,886,390.70
  4. Step 4: Simplify right side
    1,264,978,400.94x = 1,343,894,345,068,336,896
  5. Step 5: Solve for x
    x = 1,343,894,345,068,336,896/1,264,978,400.94
  6. Step 6: Final answer
    x = 1,062,385,210.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.