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Finding the Fourth Proportional to 280,828.60, 420,368.10 and 272,080.60

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Solution

The fourth proportional to 280,828.60, 420,368.10 and 272,080.60 is: 407,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,828.60 : 420,368.10 = 272,080.60 : x
  2. Step 2: Convert to fraction form
    280,828.60/420,368.10 = 272,080.60/x
  3. Step 3: Cross multiply
    280,828.60x = 420,368.10 × 272,080.60
  4. Step 4: Simplify right side
    280,828.60x = 114,374,004,868.86
  5. Step 5: Solve for x
    x = 114,374,004,868.86/280,828.60
  6. Step 6: Final answer
    x = 407,273.35

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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.