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Finding the Fourth Proportional to 512,301.51, 706,972.86 and 282,873.06

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Solution

The fourth proportional to 512,301.51, 706,972.86 and 282,873.06 is: 390,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,301.51 : 706,972.86 = 282,873.06 : x
  2. Step 2: Convert to fraction form
    512,301.51/706,972.86 = 282,873.06/x
  3. Step 3: Cross multiply
    512,301.51x = 706,972.86 × 282,873.06
  4. Step 4: Simplify right side
    512,301.51x = 199,983,576,245.15
  5. Step 5: Solve for x
    x = 199,983,576,245.15/512,301.51
  6. Step 6: Final answer
    x = 390,363.04

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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.