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Finding the Fourth Proportional to 662,439, 914,166 and 360,633

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Solution

The fourth proportional to 662,439, 914,166 and 360,633 is: 497,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,439 : 914,166 = 360,633 : x
  2. Step 2: Convert to fraction form
    662,439/914,166 = 360,633/x
  3. Step 3: Cross multiply
    662,439x = 914,166 × 360,633
  4. Step 4: Simplify right side
    662,439x = 329,678,427,078
  5. Step 5: Solve for x
    x = 329,678,427,078/662,439
  6. Step 6: Final answer
    x = 497,673.64

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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.