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Finding the Fourth Proportional to 285,050.74, 427,700.16 and 178,678.48

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Solution

The fourth proportional to 285,050.74, 427,700.16 and 178,678.48 is: 268,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,050.74 : 427,700.16 = 178,678.48 : x
  2. Step 2: Convert to fraction form
    285,050.74/427,700.16 = 178,678.48/x
  3. Step 3: Cross multiply
    285,050.74x = 427,700.16 × 178,678.48
  4. Step 4: Simplify right side
    285,050.74x = 76,420,814,484.56
  5. Step 5: Solve for x
    x = 76,420,814,484.56/285,050.74
  6. Step 6: Final answer
    x = 268,095.48

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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.