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Finding the Fourth Proportional to 512,114.40, 706,612.36 and 294,281

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Solution

The fourth proportional to 512,114.40, 706,612.36 and 294,281 is: 406,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,114.40 : 706,612.36 = 294,281 : x
  2. Step 2: Convert to fraction form
    512,114.40/706,612.36 = 294,281/x
  3. Step 3: Cross multiply
    512,114.40x = 706,612.36 × 294,281
  4. Step 4: Simplify right side
    512,114.40x = 207,942,591,913.16
  5. Step 5: Solve for x
    x = 207,942,591,913.16/512,114.40
  6. Step 6: Final answer
    x = 406,047.15

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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.