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Finding the Fourth Proportional to 304,390.41, 420,022.77 and 168,406.40

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Solution

The fourth proportional to 304,390.41, 420,022.77 and 168,406.40 is: 232,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,390.41 : 420,022.77 = 168,406.40 : x
  2. Step 2: Convert to fraction form
    304,390.41/420,022.77 = 168,406.40/x
  3. Step 3: Cross multiply
    304,390.41x = 420,022.77 × 168,406.40
  4. Step 4: Simplify right side
    304,390.41x = 70,734,520,513.61
  5. Step 5: Solve for x
    x = 70,734,520,513.61/304,390.41
  6. Step 6: Final answer
    x = 232,380.91

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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.