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Finding the Fourth Proportional to 304,778.48, 456,732.12 and 171,378.76

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Solution

The fourth proportional to 304,778.48, 456,732.12 and 171,378.76 is: 256,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,778.48 : 456,732.12 = 171,378.76 : x
  2. Step 2: Convert to fraction form
    304,778.48/456,732.12 = 171,378.76/x
  3. Step 3: Cross multiply
    304,778.48x = 456,732.12 × 171,378.76
  4. Step 4: Simplify right side
    304,778.48x = 78,274,184,377.77
  5. Step 5: Solve for x
    x = 78,274,184,377.77/304,778.48
  6. Step 6: Final answer
    x = 256,823.20

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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.