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Finding the Fourth Proportional to 512,145.72, 706,761.23 and 282,703.14

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Solution

The fourth proportional to 512,145.72, 706,761.23 and 282,703.14 is: 390,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.72 : 706,761.23 = 282,703.14 : x
  2. Step 2: Convert to fraction form
    512,145.72/706,761.23 = 282,703.14/x
  3. Step 3: Cross multiply
    512,145.72x = 706,761.23 × 282,703.14
  4. Step 4: Simplify right side
    512,145.72x = 199,803,621,016.32
  5. Step 5: Solve for x
    x = 199,803,621,016.32/512,145.72
  6. Step 6: Final answer
    x = 390,130.41

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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.