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Finding the Fourth Proportional to 408,210.80, 612,316.20 and 208,464.80

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Solution

The fourth proportional to 408,210.80, 612,316.20 and 208,464.80 is: 312,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.80 : 612,316.20 = 208,464.80 : x
  2. Step 2: Convert to fraction form
    408,210.80/612,316.20 = 208,464.80/x
  3. Step 3: Cross multiply
    408,210.80x = 612,316.20 × 208,464.80
  4. Step 4: Simplify right side
    408,210.80x = 127,646,374,169.76
  5. Step 5: Solve for x
    x = 127,646,374,169.76/408,210.80
  6. Step 6: Final answer
    x = 312,697.20

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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.