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Finding the Fourth Proportional to 340,021, 469,228.98 and 189,114.76

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Solution

The fourth proportional to 340,021, 469,228.98 and 189,114.76 is: 260,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,021 : 469,228.98 = 189,114.76 : x
  2. Step 2: Convert to fraction form
    340,021/469,228.98 = 189,114.76/x
  3. Step 3: Cross multiply
    340,021x = 469,228.98 × 189,114.76
  4. Step 4: Simplify right side
    340,021x = 88,738,125,937.74
  5. Step 5: Solve for x
    x = 88,738,125,937.74/340,021
  6. Step 6: Final answer
    x = 260,978.37

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1.5x scale

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.