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Finding the Fourth Proportional to 280,232.16, 420,336.32 and 130,420.82

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Solution

The fourth proportional to 280,232.16, 420,336.32 and 130,420.82 is: 195,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,232.16 : 420,336.32 = 130,420.82 : x
  2. Step 2: Convert to fraction form
    280,232.16/420,336.32 = 130,420.82/x
  3. Step 3: Cross multiply
    280,232.16x = 420,336.32 × 130,420.82
  4. Step 4: Simplify right side
    280,232.16x = 54,820,607,530.18
  5. Step 5: Solve for x
    x = 54,820,607,530.18/280,232.16
  6. Step 6: Final answer
    x = 195,625.68

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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.