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Finding the Fourth Proportional to 442,842.42, 610,946.64 and 272,781.30

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Solution

The fourth proportional to 442,842.42, 610,946.64 and 272,781.30 is: 376,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,842.42 : 610,946.64 = 272,781.30 : x
  2. Step 2: Convert to fraction form
    442,842.42/610,946.64 = 272,781.30/x
  3. Step 3: Cross multiply
    442,842.42x = 610,946.64 × 272,781.30
  4. Step 4: Simplify right side
    442,842.42x = 166,654,818,689.83
  5. Step 5: Solve for x
    x = 166,654,818,689.83/442,842.42
  6. Step 6: Final answer
    x = 376,329.84

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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.