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Finding the Fourth Proportional to 280,048.60, 420,024.30 and 102,464.20

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Solution

The fourth proportional to 280,048.60, 420,024.30 and 102,464.20 is: 153,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,048.60 : 420,024.30 = 102,464.20 : x
  2. Step 2: Convert to fraction form
    280,048.60/420,024.30 = 102,464.20/x
  3. Step 3: Cross multiply
    280,048.60x = 420,024.30 × 102,464.20
  4. Step 4: Simplify right side
    280,048.60x = 43,037,453,880.06
  5. Step 5: Solve for x
    x = 43,037,453,880.06/280,048.60
  6. Step 6: Final answer
    x = 153,678.52

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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.