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Finding the Fourth Proportional to 675,930.02, 932,784.26 and 421,281

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Solution

The fourth proportional to 675,930.02, 932,784.26 and 421,281 is: 581,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,930.02 : 932,784.26 = 421,281 : x
  2. Step 2: Convert to fraction form
    675,930.02/932,784.26 = 421,281/x
  3. Step 3: Cross multiply
    675,930.02x = 932,784.26 × 421,281
  4. Step 4: Simplify right side
    675,930.02x = 392,964,283,730.66
  5. Step 5: Solve for x
    x = 392,964,283,730.66/675,930.02
  6. Step 6: Final answer
    x = 581,368.30

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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.