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Finding the Fourth Proportional to 495,493.80, 684,065.16 and 326,220

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Solution

The fourth proportional to 495,493.80, 684,065.16 and 326,220 is: 450,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,493.80 : 684,065.16 = 326,220 : x
  2. Step 2: Convert to fraction form
    495,493.80/684,065.16 = 326,220/x
  3. Step 3: Cross multiply
    495,493.80x = 684,065.16 × 326,220
  4. Step 4: Simplify right side
    495,493.80x = 223,155,736,495.20
  5. Step 5: Solve for x
    x = 223,155,736,495.20/495,493.80
  6. Step 6: Final answer
    x = 450,370.39

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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.