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Finding the Fourth Proportional to 414,364.92, 621,547.38 and 274,090.74

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Solution

The fourth proportional to 414,364.92, 621,547.38 and 274,090.74 is: 411,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,364.92 : 621,547.38 = 274,090.74 : x
  2. Step 2: Convert to fraction form
    414,364.92/621,547.38 = 274,090.74/x
  3. Step 3: Cross multiply
    414,364.92x = 621,547.38 × 274,090.74
  4. Step 4: Simplify right side
    414,364.92x = 170,360,381,329.26
  5. Step 5: Solve for x
    x = 170,360,381,329.26/414,364.92
  6. Step 6: Final answer
    x = 411,136.11

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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.