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Finding the Fourth Proportional to 749,934, 1,124,905 and 306,702

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Solution

The fourth proportional to 749,934, 1,124,905 and 306,702 is: 460,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,934 : 1,124,905 = 306,702 : x
  2. Step 2: Convert to fraction form
    749,934/1,124,905 = 306,702/x
  3. Step 3: Cross multiply
    749,934x = 1,124,905 × 306,702
  4. Step 4: Simplify right side
    749,934x = 345,010,613,310
  5. Step 5: Solve for x
    x = 345,010,613,310/749,934
  6. Step 6: Final answer
    x = 460,054.64

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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.