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Finding the Fourth Proportional to 492,354, 679,111.11 and 301,461.66

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Solution

The fourth proportional to 492,354, 679,111.11 and 301,461.66 is: 415,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,354 : 679,111.11 = 301,461.66 : x
  2. Step 2: Convert to fraction form
    492,354/679,111.11 = 301,461.66/x
  3. Step 3: Cross multiply
    492,354x = 679,111.11 × 301,461.66
  4. Step 4: Simplify right side
    492,354x = 204,725,962,545.04
  5. Step 5: Solve for x
    x = 204,725,962,545.04/492,354
  6. Step 6: Final answer
    x = 415,810.50

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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.