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Finding the Fourth Proportional to 287,768.06, 431,282.67 and 137,783.60

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Solution

The fourth proportional to 287,768.06, 431,282.67 and 137,783.60 is: 206,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,768.06 : 431,282.67 = 137,783.60 : x
  2. Step 2: Convert to fraction form
    287,768.06/431,282.67 = 137,783.60/x
  3. Step 3: Cross multiply
    287,768.06x = 431,282.67 × 137,783.60
  4. Step 4: Simplify right side
    287,768.06x = 59,423,676,733.80
  5. Step 5: Solve for x
    x = 59,423,676,733.80/287,768.06
  6. Step 6: Final answer
    x = 206,498.52

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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.