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Finding the Fourth Proportional to 610,929.88, 843,042.72 and 338,980.53

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Solution

The fourth proportional to 610,929.88, 843,042.72 and 338,980.53 is: 467,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,929.88 : 843,042.72 = 338,980.53 : x
  2. Step 2: Convert to fraction form
    610,929.88/843,042.72 = 338,980.53/x
  3. Step 3: Cross multiply
    610,929.88x = 843,042.72 × 338,980.53
  4. Step 4: Simplify right side
    610,929.88x = 285,775,068,038.24
  5. Step 5: Solve for x
    x = 285,775,068,038.24/610,929.88
  6. Step 6: Final answer
    x = 467,770.65

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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.