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Finding the Fourth Proportional to 293,575.74, 405,144.50 and 280,123.64

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Solution

The fourth proportional to 293,575.74, 405,144.50 and 280,123.64 is: 386,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,575.74 : 405,144.50 = 280,123.64 : x
  2. Step 2: Convert to fraction form
    293,575.74/405,144.50 = 280,123.64/x
  3. Step 3: Cross multiply
    293,575.74x = 405,144.50 × 280,123.64
  4. Step 4: Simplify right side
    293,575.74x = 113,490,552,065.98
  5. Step 5: Solve for x
    x = 113,490,552,065.98/293,575.74
  6. Step 6: Final answer
    x = 386,580.14

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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.