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Finding the Fourth Proportional to 460,974, 636,144.12 and 249,006

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Solution

The fourth proportional to 460,974, 636,144.12 and 249,006 is: 343,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,974 : 636,144.12 = 249,006 : x
  2. Step 2: Convert to fraction form
    460,974/636,144.12 = 249,006/x
  3. Step 3: Cross multiply
    460,974x = 636,144.12 × 249,006
  4. Step 4: Simplify right side
    460,974x = 158,403,702,744.72
  5. Step 5: Solve for x
    x = 158,403,702,744.72/460,974
  6. Step 6: Final answer
    x = 343,628.28

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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.