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Finding the Fourth Proportional to 305,287.29, 455,707.28 and 282,774.76

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Solution

The fourth proportional to 305,287.29, 455,707.28 and 282,774.76 is: 422,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,287.29 : 455,707.28 = 282,774.76 : x
  2. Step 2: Convert to fraction form
    305,287.29/455,707.28 = 282,774.76/x
  3. Step 3: Cross multiply
    305,287.29x = 455,707.28 × 282,774.76
  4. Step 4: Simplify right side
    305,287.29x = 128,862,514,453.72
  5. Step 5: Solve for x
    x = 128,862,514,453.72/305,287.29
  6. Step 6: Final answer
    x = 422,102.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.