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Finding the Fourth Proportional to 304,587, 420,271.74 and 197,142.12

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Solution

The fourth proportional to 304,587, 420,271.74 and 197,142.12 is: 272,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,587 : 420,271.74 = 197,142.12 : x
  2. Step 2: Convert to fraction form
    304,587/420,271.74 = 197,142.12/x
  3. Step 3: Cross multiply
    304,587x = 420,271.74 × 197,142.12
  4. Step 4: Simplify right side
    304,587x = 82,853,261,799.69
  5. Step 5: Solve for x
    x = 82,853,261,799.69/304,587
  6. Step 6: Final answer
    x = 272,018.38

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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.