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Finding the Fourth Proportional to 495,478.80, 684,044.46 and 326,205

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Solution

The fourth proportional to 495,478.80, 684,044.46 and 326,205 is: 450,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,478.80 : 684,044.46 = 326,205 : x
  2. Step 2: Convert to fraction form
    495,478.80/684,044.46 = 326,205/x
  3. Step 3: Cross multiply
    495,478.80x = 684,044.46 × 326,205
  4. Step 4: Simplify right side
    495,478.80x = 223,138,723,074.30
  5. Step 5: Solve for x
    x = 223,138,723,074.30/495,478.80
  6. Step 6: Final answer
    x = 450,349.69

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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.