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Finding the Fourth Proportional to 810,168, 1,117,997.76 and 465,977.94

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Solution

The fourth proportional to 810,168, 1,117,997.76 and 465,977.94 is: 643,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,168 : 1,117,997.76 = 465,977.94 : x
  2. Step 2: Convert to fraction form
    810,168/1,117,997.76 = 465,977.94/x
  3. Step 3: Cross multiply
    810,168x = 1,117,997.76 × 465,977.94
  4. Step 4: Simplify right side
    810,168x = 520,962,293,129.41
  5. Step 5: Solve for x
    x = 520,962,293,129.41/810,168
  6. Step 6: Final answer
    x = 643,029.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.