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Finding the Fourth Proportional to 304,578, 420,259.32 and 197,133.12

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Solution

The fourth proportional to 304,578, 420,259.32 and 197,133.12 is: 272,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,578 : 420,259.32 = 197,133.12 : x
  2. Step 2: Convert to fraction form
    304,578/420,259.32 = 197,133.12/x
  3. Step 3: Cross multiply
    304,578x = 420,259.32 × 197,133.12
  4. Step 4: Simplify right side
    304,578x = 82,847,030,960.68
  5. Step 5: Solve for x
    x = 82,847,030,960.68/304,578
  6. Step 6: Final answer
    x = 272,005.96

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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.