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Finding the Fourth Proportional to 309,612.94, 427,092.80 and 194,848.76

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Solution

The fourth proportional to 309,612.94, 427,092.80 and 194,848.76 is: 268,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612.94 : 427,092.80 = 194,848.76 : x
  2. Step 2: Convert to fraction form
    309,612.94/427,092.80 = 194,848.76/x
  3. Step 3: Cross multiply
    309,612.94x = 427,092.80 × 194,848.76
  4. Step 4: Simplify right side
    309,612.94x = 83,218,502,484.93
  5. Step 5: Solve for x
    x = 83,218,502,484.93/309,612.94
  6. Step 6: Final answer
    x = 268,782.38

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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.