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Finding the Fourth Proportional to 763,821, 1,145,731.50 and 265,185

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Solution

The fourth proportional to 763,821, 1,145,731.50 and 265,185 is: 397,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,821 : 1,145,731.50 = 265,185 : x
  2. Step 2: Convert to fraction form
    763,821/1,145,731.50 = 265,185/x
  3. Step 3: Cross multiply
    763,821x = 1,145,731.50 × 265,185
  4. Step 4: Simplify right side
    763,821x = 303,830,807,827.50
  5. Step 5: Solve for x
    x = 303,830,807,827.50/763,821
  6. Step 6: Final answer
    x = 397,777.50

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Similar ratio
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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.