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Finding the Fourth Proportional to 280,009.53, 420,023.52 and 77,605.25

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Solution

The fourth proportional to 280,009.53, 420,023.52 and 77,605.25 is: 116,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,009.53 : 420,023.52 = 77,605.25 : x
  2. Step 2: Convert to fraction form
    280,009.53/420,023.52 = 77,605.25/x
  3. Step 3: Cross multiply
    280,009.53x = 420,023.52 × 77,605.25
  4. Step 4: Simplify right side
    280,009.53x = 32,596,028,175.36
  5. Step 5: Solve for x
    x = 32,596,028,175.36/280,009.53
  6. Step 6: Final answer
    x = 116,410.42

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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.