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Finding the Fourth Proportional to 585,319.26, 807,870.89 and 355,827.94

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Solution

The fourth proportional to 585,319.26, 807,870.89 and 355,827.94 is: 491,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,319.26 : 807,870.89 = 355,827.94 : x
  2. Step 2: Convert to fraction form
    585,319.26/807,870.89 = 355,827.94/x
  3. Step 3: Cross multiply
    585,319.26x = 807,870.89 × 355,827.94
  4. Step 4: Simplify right side
    585,319.26x = 287,463,032,443.79
  5. Step 5: Solve for x
    x = 287,463,032,443.79/585,319.26
  6. Step 6: Final answer
    x = 491,121.77

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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.