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Finding the Fourth Proportional to 689,920, 952,089.36 and 388,114

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Solution

The fourth proportional to 689,920, 952,089.36 and 388,114 is: 535,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,920 : 952,089.36 = 388,114 : x
  2. Step 2: Convert to fraction form
    689,920/952,089.36 = 388,114/x
  3. Step 3: Cross multiply
    689,920x = 952,089.36 × 388,114
  4. Step 4: Simplify right side
    689,920x = 369,519,209,867.04
  5. Step 5: Solve for x
    x = 369,519,209,867.04/689,920
  6. Step 6: Final answer
    x = 535,597.18

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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.