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Finding the Fourth Proportional to 386,085.96, 579,330.90 and 280,343.40

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Solution

The fourth proportional to 386,085.96, 579,330.90 and 280,343.40 is: 420,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,085.96 : 579,330.90 = 280,343.40 : x
  2. Step 2: Convert to fraction form
    386,085.96/579,330.90 = 280,343.40/x
  3. Step 3: Cross multiply
    386,085.96x = 579,330.90 × 280,343.40
  4. Step 4: Simplify right side
    386,085.96x = 162,411,594,231.06
  5. Step 5: Solve for x
    x = 162,411,594,231.06/386,085.96
  6. Step 6: Final answer
    x = 420,661.75

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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.