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Finding the Fourth Proportional to 418,114.35, 576,426.51 and 287,288.01

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Solution

The fourth proportional to 418,114.35, 576,426.51 and 287,288.01 is: 396,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,114.35 : 576,426.51 = 287,288.01 : x
  2. Step 2: Convert to fraction form
    418,114.35/576,426.51 = 287,288.01/x
  3. Step 3: Cross multiply
    418,114.35x = 576,426.51 × 287,288.01
  4. Step 4: Simplify right side
    418,114.35x = 165,600,424,969.15
  5. Step 5: Solve for x
    x = 165,600,424,969.15/418,114.35
  6. Step 6: Final answer
    x = 396,064.92

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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.