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Finding the Fourth Proportional to 423,977.10, 635,965.65 and 411,689.10

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Solution

The fourth proportional to 423,977.10, 635,965.65 and 411,689.10 is: 617,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,977.10 : 635,965.65 = 411,689.10 : x
  2. Step 2: Convert to fraction form
    423,977.10/635,965.65 = 411,689.10/x
  3. Step 3: Cross multiply
    423,977.10x = 635,965.65 × 411,689.10
  4. Step 4: Simplify right side
    423,977.10x = 261,820,126,079.42
  5. Step 5: Solve for x
    x = 261,820,126,079.42/423,977.10
  6. Step 6: Final answer
    x = 617,533.65

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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.