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Finding the Fourth Proportional to 614,231.76, 847,628.36 and 342,293.70

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Solution

The fourth proportional to 614,231.76, 847,628.36 and 342,293.70 is: 472,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,231.76 : 847,628.36 = 342,293.70 : x
  2. Step 2: Convert to fraction form
    614,231.76/847,628.36 = 342,293.70/x
  3. Step 3: Cross multiply
    614,231.76x = 847,628.36 × 342,293.70
  4. Step 4: Simplify right side
    614,231.76x = 290,137,841,619.72
  5. Step 5: Solve for x
    x = 290,137,841,619.72/614,231.76
  6. Step 6: Final answer
    x = 472,358.91

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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.