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Finding the Fourth Proportional to 406,980.30, 610,470.46 and 328,248.30

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Solution

The fourth proportional to 406,980.30, 610,470.46 and 328,248.30 is: 492,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980.30 : 610,470.46 = 328,248.30 : x
  2. Step 2: Convert to fraction form
    406,980.30/610,470.46 = 328,248.30/x
  3. Step 3: Cross multiply
    406,980.30x = 610,470.46 × 328,248.30
  4. Step 4: Simplify right side
    406,980.30x = 200,385,890,695.22
  5. Step 5: Solve for x
    x = 200,385,890,695.22/406,980.30
  6. Step 6: Final answer
    x = 492,372.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.