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Finding the Fourth Proportional to 407,643.84, 611,562.33 and 400,865.94

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Solution

The fourth proportional to 407,643.84, 611,562.33 and 400,865.94 is: 601,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,643.84 : 611,562.33 = 400,865.94 : x
  2. Step 2: Convert to fraction form
    407,643.84/611,562.33 = 400,865.94/x
  3. Step 3: Cross multiply
    407,643.84x = 611,562.33 × 400,865.94
  4. Step 4: Simplify right side
    407,643.84x = 245,154,508,284.04
  5. Step 5: Solve for x
    x = 245,154,508,284.04/407,643.84
  6. Step 6: Final answer
    x = 601,393.87

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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.