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Finding the Fourth Proportional to 612,372.88, 917,703.96 and 296,746

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Solution

The fourth proportional to 612,372.88, 917,703.96 and 296,746 is: 444,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,372.88 : 917,703.96 = 296,746 : x
  2. Step 2: Convert to fraction form
    612,372.88/917,703.96 = 296,746/x
  3. Step 3: Cross multiply
    612,372.88x = 917,703.96 × 296,746
  4. Step 4: Simplify right side
    612,372.88x = 272,324,979,314.16
  5. Step 5: Solve for x
    x = 272,324,979,314.16/612,372.88
  6. Step 6: Final answer
    x = 444,704.51

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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.