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Finding the Fourth Proportional to 464,394.26, 640,934.13 and 283,211.30

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Solution

The fourth proportional to 464,394.26, 640,934.13 and 283,211.30 is: 390,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,394.26 : 640,934.13 = 283,211.30 : x
  2. Step 2: Convert to fraction form
    464,394.26/640,934.13 = 283,211.30/x
  3. Step 3: Cross multiply
    464,394.26x = 640,934.13 × 283,211.30
  4. Step 4: Simplify right side
    464,394.26x = 181,519,784,967.00
  5. Step 5: Solve for x
    x = 181,519,784,967.00/464,394.26
  6. Step 6: Final answer
    x = 390,874.31

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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.