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Finding the Fourth Proportional to 1,164,920,943.32, 1,747,387,947.16 and 388,564,472.76

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Solution

The fourth proportional to 1,164,920,943.32, 1,747,387,947.16 and 388,564,472.76 is: 582,848,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,920,943.32 : 1,747,387,947.16 = 388,564,472.76 : x
  2. Step 2: Convert to fraction form
    1,164,920,943.32/1,747,387,947.16 = 388,564,472.76/x
  3. Step 3: Cross multiply
    1,164,920,943.32x = 1,747,387,947.16 × 388,564,472.76
  4. Step 4: Simplify right side
    1,164,920,943.32x = 678,972,876,395,404,160
  5. Step 5: Solve for x
    x = 678,972,876,395,404,160/1,164,920,943.32
  6. Step 6: Final answer
    x = 582,848,887.98

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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.