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Finding the Fourth Proportional to 340,573.61, 470,006.16 and 189,670.61

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Solution

The fourth proportional to 340,573.61, 470,006.16 and 189,670.61 is: 261,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,573.61 : 470,006.16 = 189,670.61 : x
  2. Step 2: Convert to fraction form
    340,573.61/470,006.16 = 189,670.61/x
  3. Step 3: Cross multiply
    340,573.61x = 470,006.16 × 189,670.61
  4. Step 4: Simplify right side
    340,573.61x = 89,146,355,070.96
  5. Step 5: Solve for x
    x = 89,146,355,070.96/340,573.61
  6. Step 6: Final answer
    x = 261,753.56

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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.