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Finding the Fourth Proportional to 678,517,708.68, 936,394,434.83 and 510,958,347.21

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Solution

The fourth proportional to 678,517,708.68, 936,394,434.83 and 510,958,347.21 is: 705,152,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,517,708.68 : 936,394,434.83 = 510,958,347.21 : x
  2. Step 2: Convert to fraction form
    678,517,708.68/936,394,434.83 = 510,958,347.21/x
  3. Step 3: Cross multiply
    678,517,708.68x = 936,394,434.83 × 510,958,347.21
  4. Step 4: Simplify right side
    678,517,708.68x = 478,458,552,754,824,064
  5. Step 5: Solve for x
    x = 478,458,552,754,824,064/678,517,708.68
  6. Step 6: Final answer
    x = 705,152,638.81

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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.