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Finding the Fourth Proportional to 512,276.14, 706,875.87 and 285,931.18

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Solution

The fourth proportional to 512,276.14, 706,875.87 and 285,931.18 is: 394,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,276.14 : 706,875.87 = 285,931.18 : x
  2. Step 2: Convert to fraction form
    512,276.14/706,875.87 = 285,931.18/x
  3. Step 3: Cross multiply
    512,276.14x = 706,875.87 × 285,931.18
  4. Step 4: Simplify right side
    512,276.14x = 202,117,851,622.63
  5. Step 5: Solve for x
    x = 202,117,851,622.63/512,276.14
  6. Step 6: Final answer
    x = 394,548.63

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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.