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Finding the Fourth Proportional to 512,298.42, 706,982.94 and 282,854.94

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Solution

The fourth proportional to 512,298.42, 706,982.94 and 282,854.94 is: 390,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,298.42 : 706,982.94 = 282,854.94 : x
  2. Step 2: Convert to fraction form
    512,298.42/706,982.94 = 282,854.94/x
  3. Step 3: Cross multiply
    512,298.42x = 706,982.94 × 282,854.94
  4. Step 4: Simplify right side
    512,298.42x = 199,973,617,074.72
  5. Step 5: Solve for x
    x = 199,973,617,074.72/512,298.42
  6. Step 6: Final answer
    x = 390,345.96

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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.