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Finding the Fourth Proportional to 495,937.61, 683,760.30 and 321,199.07

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Solution

The fourth proportional to 495,937.61, 683,760.30 and 321,199.07 is: 442,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,937.61 : 683,760.30 = 321,199.07 : x
  2. Step 2: Convert to fraction form
    495,937.61/683,760.30 = 321,199.07/x
  3. Step 3: Cross multiply
    495,937.61x = 683,760.30 × 321,199.07
  4. Step 4: Simplify right side
    495,937.61x = 219,623,169,044.12
  5. Step 5: Solve for x
    x = 219,623,169,044.12/495,937.61
  6. Step 6: Final answer
    x = 442,844.36

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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.