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Finding the Fourth Proportional to 280,820.30, 421,230.45 and 174,532.10

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Solution

The fourth proportional to 280,820.30, 421,230.45 and 174,532.10 is: 261,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,820.30 : 421,230.45 = 174,532.10 : x
  2. Step 2: Convert to fraction form
    280,820.30/421,230.45 = 174,532.10/x
  3. Step 3: Cross multiply
    280,820.30x = 421,230.45 × 174,532.10
  4. Step 4: Simplify right side
    280,820.30x = 73,518,235,022.45
  5. Step 5: Solve for x
    x = 73,518,235,022.45/280,820.30
  6. Step 6: Final answer
    x = 261,798.15

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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.