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Finding the Fourth Proportional to 474,984.98, 712,524.20 and 138,028.58

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Solution

The fourth proportional to 474,984.98, 712,524.20 and 138,028.58 is: 207,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,984.98 : 712,524.20 = 138,028.58 : x
  2. Step 2: Convert to fraction form
    474,984.98/712,524.20 = 138,028.58/x
  3. Step 3: Cross multiply
    474,984.98x = 712,524.20 × 138,028.58
  4. Step 4: Simplify right side
    474,984.98x = 98,348,703,541.64
  5. Step 5: Solve for x
    x = 98,348,703,541.64/474,984.98
  6. Step 6: Final answer
    x = 207,056.45

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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.