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Finding the Fourth Proportional to 512,148.72, 706,765.37 and 282,706.14

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Solution

The fourth proportional to 512,148.72, 706,765.37 and 282,706.14 is: 390,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,148.72 : 706,765.37 = 282,706.14 : x
  2. Step 2: Convert to fraction form
    512,148.72/706,765.37 = 282,706.14/x
  3. Step 3: Cross multiply
    512,148.72x = 706,765.37 × 282,706.14
  4. Step 4: Simplify right side
    512,148.72x = 199,806,908,224.84
  5. Step 5: Solve for x
    x = 199,806,908,224.84/512,148.72
  6. Step 6: Final answer
    x = 390,134.55

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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.