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Finding the Fourth Proportional to 280,245.83, 420,356.98 and 130,434.59

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Solution

The fourth proportional to 280,245.83, 420,356.98 and 130,434.59 is: 195,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,245.83 : 420,356.98 = 130,434.59 : x
  2. Step 2: Convert to fraction form
    280,245.83/420,356.98 = 130,434.59/x
  3. Step 3: Cross multiply
    280,245.83x = 420,356.98 × 130,434.59
  4. Step 4: Simplify right side
    280,245.83x = 54,829,090,339.94
  5. Step 5: Solve for x
    x = 54,829,090,339.94/280,245.83
  6. Step 6: Final answer
    x = 195,646.41

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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.