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Finding the Fourth Proportional to 474,941.84, 712,263.77 and 138,005.79

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Solution

The fourth proportional to 474,941.84, 712,263.77 and 138,005.79 is: 206,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,941.84 : 712,263.77 = 138,005.79 : x
  2. Step 2: Convert to fraction form
    474,941.84/712,263.77 = 138,005.79/x
  3. Step 3: Cross multiply
    474,941.84x = 712,263.77 × 138,005.79
  4. Step 4: Simplify right side
    474,941.84x = 98,296,523,577.20
  5. Step 5: Solve for x
    x = 98,296,523,577.20/474,941.84
  6. Step 6: Final answer
    x = 206,965.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.