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Finding the Fourth Proportional to 692,428.43, 955,710.66 and 406,040.78

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Solution

The fourth proportional to 692,428.43, 955,710.66 and 406,040.78 is: 560,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,428.43 : 955,710.66 = 406,040.78 : x
  2. Step 2: Convert to fraction form
    692,428.43/955,710.66 = 406,040.78/x
  3. Step 3: Cross multiply
    692,428.43x = 955,710.66 × 406,040.78
  4. Step 4: Simplify right side
    692,428.43x = 388,057,505,752.64
  5. Step 5: Solve for x
    x = 388,057,505,752.64/692,428.43
  6. Step 6: Final answer
    x = 560,429.77

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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.