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Finding the Fourth Proportional to 1,319,055,029.15, 1,978,646,178.49 and 433,720,787.95

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Solution

The fourth proportional to 1,319,055,029.15, 1,978,646,178.49 and 433,720,787.95 is: 650,602,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,055,029.15 : 1,978,646,178.49 = 433,720,787.95 : x
  2. Step 2: Convert to fraction form
    1,319,055,029.15/1,978,646,178.49 = 433,720,787.95/x
  3. Step 3: Cross multiply
    1,319,055,029.15x = 1,978,646,178.49 × 433,720,787.95
  4. Step 4: Simplify right side
    1,319,055,029.15x = 858,179,979,602,908,160
  5. Step 5: Solve for x
    x = 858,179,979,602,908,160/1,319,055,029.15
  6. Step 6: Final answer
    x = 650,602,105.78

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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.