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Finding the Fourth Proportional to 585,320.26, 807,872.27 and 355,828.94

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Solution

The fourth proportional to 585,320.26, 807,872.27 and 355,828.94 is: 491,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,320.26 : 807,872.27 = 355,828.94 : x
  2. Step 2: Convert to fraction form
    585,320.26/807,872.27 = 355,828.94/x
  3. Step 3: Cross multiply
    585,320.26x = 807,872.27 × 355,828.94
  4. Step 4: Simplify right side
    585,320.26x = 287,464,333,489.49
  5. Step 5: Solve for x
    x = 287,464,333,489.49/585,320.26
  6. Step 6: Final answer
    x = 491,123.16

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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.