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Finding the Fourth Proportional to 616,464, 850,721.28 and 333,840

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Solution

The fourth proportional to 616,464, 850,721.28 and 333,840 is: 460,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,464 : 850,721.28 = 333,840 : x
  2. Step 2: Convert to fraction form
    616,464/850,721.28 = 333,840/x
  3. Step 3: Cross multiply
    616,464x = 850,721.28 × 333,840
  4. Step 4: Simplify right side
    616,464x = 284,004,792,115.20
  5. Step 5: Solve for x
    x = 284,004,792,115.20/616,464
  6. Step 6: Final answer
    x = 460,699.72

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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.