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Finding the Fourth Proportional to 340,580, 470,014.98 and 189,677

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Solution

The fourth proportional to 340,580, 470,014.98 and 189,677 is: 261,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,580 : 470,014.98 = 189,677 : x
  2. Step 2: Convert to fraction form
    340,580/470,014.98 = 189,677/x
  3. Step 3: Cross multiply
    340,580x = 470,014.98 × 189,677
  4. Step 4: Simplify right side
    340,580x = 89,151,031,361.46
  5. Step 5: Solve for x
    x = 89,151,031,361.46/340,580
  6. Step 6: Final answer
    x = 261,762.38

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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.