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Finding the Fourth Proportional to 506,875.25, 759,722.38 and 282,128.20

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Solution

The fourth proportional to 506,875.25, 759,722.38 and 282,128.20 is: 422,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,875.25 : 759,722.38 = 282,128.20 : x
  2. Step 2: Convert to fraction form
    506,875.25/759,722.38 = 282,128.20/x
  3. Step 3: Cross multiply
    506,875.25x = 759,722.38 × 282,128.20
  4. Step 4: Simplify right side
    506,875.25x = 214,339,107,569.12
  5. Step 5: Solve for x
    x = 214,339,107,569.12/506,875.25
  6. Step 6: Final answer
    x = 422,863.63

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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.