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Finding the Fourth Proportional to 495,498.80, 684,072.12 and 326,225

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Solution

The fourth proportional to 495,498.80, 684,072.12 and 326,225 is: 450,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,498.80 : 684,072.12 = 326,225 : x
  2. Step 2: Convert to fraction form
    495,498.80/684,072.12 = 326,225/x
  3. Step 3: Cross multiply
    495,498.80x = 684,072.12 × 326,225
  4. Step 4: Simplify right side
    495,498.80x = 223,161,427,347
  5. Step 5: Solve for x
    x = 223,161,427,347/495,498.80
  6. Step 6: Final answer
    x = 450,377.33

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1.5x scale

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.