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Finding the Fourth Proportional to 344,306, 516,478.44 and 122,690

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Solution

The fourth proportional to 344,306, 516,478.44 and 122,690 is: 184,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,306 : 516,478.44 = 122,690 : x
  2. Step 2: Convert to fraction form
    344,306/516,478.44 = 122,690/x
  3. Step 3: Cross multiply
    344,306x = 516,478.44 × 122,690
  4. Step 4: Simplify right side
    344,306x = 63,366,739,803.60
  5. Step 5: Solve for x
    x = 63,366,739,803.60/344,306
  6. Step 6: Final answer
    x = 184,041.93

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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.