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Finding the Fourth Proportional to 220,645, 304,490.10 and 120,043.72

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Solution

The fourth proportional to 220,645, 304,490.10 and 120,043.72 is: 165,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,645 : 304,490.10 = 120,043.72 : x
  2. Step 2: Convert to fraction form
    220,645/304,490.10 = 120,043.72/x
  3. Step 3: Cross multiply
    220,645x = 304,490.10 × 120,043.72
  4. Step 4: Simplify right side
    220,645x = 36,552,124,307.17
  5. Step 5: Solve for x
    x = 36,552,124,307.17/220,645
  6. Step 6: Final answer
    x = 165,660.33

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1.5x scale

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.