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Finding the Fourth Proportional to 512,117.40, 706,616.48 and 294,284

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Solution

The fourth proportional to 512,117.40, 706,616.48 and 294,284 is: 406,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,117.40 : 706,616.48 = 294,284 : x
  2. Step 2: Convert to fraction form
    512,117.40/706,616.48 = 294,284/x
  3. Step 3: Cross multiply
    512,117.40x = 706,616.48 × 294,284
  4. Step 4: Simplify right side
    512,117.40x = 207,945,924,200.32
  5. Step 5: Solve for x
    x = 207,945,924,200.32/512,117.40
  6. Step 6: Final answer
    x = 406,051.28

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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.