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Finding the Fourth Proportional to 746,256, 1,029,833.28 and 406,725.06

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Solution

The fourth proportional to 746,256, 1,029,833.28 and 406,725.06 is: 561,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,256 : 1,029,833.28 = 406,725.06 : x
  2. Step 2: Convert to fraction form
    746,256/1,029,833.28 = 406,725.06/x
  3. Step 3: Cross multiply
    746,256x = 1,029,833.28 × 406,725.06
  4. Step 4: Simplify right side
    746,256x = 418,859,002,598.00
  5. Step 5: Solve for x
    x = 418,859,002,598.00/746,256
  6. Step 6: Final answer
    x = 561,280.58

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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.