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Finding the Fourth Proportional to 289,415.20, 434,122.80 and 277,127.20

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Solution

The fourth proportional to 289,415.20, 434,122.80 and 277,127.20 is: 415,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.20 : 434,122.80 = 277,127.20 : x
  2. Step 2: Convert to fraction form
    289,415.20/434,122.80 = 277,127.20/x
  3. Step 3: Cross multiply
    289,415.20x = 434,122.80 × 277,127.20
  4. Step 4: Simplify right side
    289,415.20x = 120,307,236,020.16
  5. Step 5: Solve for x
    x = 120,307,236,020.16/289,415.20
  6. Step 6: Final answer
    x = 415,690.80

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1.5x scale

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.