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Finding the Fourth Proportional to 689,894.13, 952,068.48 and 388,088.13

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Solution

The fourth proportional to 689,894.13, 952,068.48 and 388,088.13 is: 535,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,894.13 : 952,068.48 = 388,088.13 : x
  2. Step 2: Convert to fraction form
    689,894.13/952,068.48 = 388,088.13/x
  3. Step 3: Cross multiply
    689,894.13x = 952,068.48 × 388,088.13
  4. Step 4: Simplify right side
    689,894.13x = 369,486,476,035.14
  5. Step 5: Solve for x
    x = 369,486,476,035.14/689,894.13
  6. Step 6: Final answer
    x = 535,569.82

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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.