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Finding the Fourth Proportional to 280,152.60, 419,572.80 and 213,230.40

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Solution

The fourth proportional to 280,152.60, 419,572.80 and 213,230.40 is: 319,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152.60 : 419,572.80 = 213,230.40 : x
  2. Step 2: Convert to fraction form
    280,152.60/419,572.80 = 213,230.40/x
  3. Step 3: Cross multiply
    280,152.60x = 419,572.80 × 213,230.40
  4. Step 4: Simplify right side
    280,152.60x = 89,465,675,973.12
  5. Step 5: Solve for x
    x = 89,465,675,973.12/280,152.60
  6. Step 6: Final answer
    x = 319,346.23

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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.