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Finding the Fourth Proportional to 658,498.40, 988,208.40 and 422,415.20

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Solution

The fourth proportional to 658,498.40, 988,208.40 and 422,415.20 is: 633,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,498.40 : 988,208.40 = 422,415.20 : x
  2. Step 2: Convert to fraction form
    658,498.40/988,208.40 = 422,415.20/x
  3. Step 3: Cross multiply
    658,498.40x = 988,208.40 × 422,415.20
  4. Step 4: Simplify right side
    658,498.40x = 417,434,248,927.68
  5. Step 5: Solve for x
    x = 417,434,248,927.68/658,498.40
  6. Step 6: Final answer
    x = 633,918.40

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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.