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Finding the Fourth Proportional to 280,247.84, 420,359.98 and 130,436.60

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Solution

The fourth proportional to 280,247.84, 420,359.98 and 130,436.60 is: 195,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,247.84 : 420,359.98 = 130,436.60 : x
  2. Step 2: Convert to fraction form
    280,247.84/420,359.98 = 130,436.60/x
  3. Step 3: Cross multiply
    280,247.84x = 420,359.98 × 130,436.60
  4. Step 4: Simplify right side
    280,247.84x = 54,830,326,567.27
  5. Step 5: Solve for x
    x = 54,830,326,567.27/280,247.84
  6. Step 6: Final answer
    x = 195,649.42

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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.